873777843929088 has 1014 divisors, whose sum is σ = 3049304395262751. Its totient is φ = 249650812551168.

The previous prime is 873777843928943. The next prime is 873777843929183. The reversal of 873777843929088 is 880929348777378.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

873777843929088 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 7 + 7 + 8 + 439 + 2 + 90 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 436888921964544 + 436888921964544 = 20901888^2 + 20901888^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20901888.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 873777843928989 and 873777843929007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 124825406275581 + ... + 124825406275587.

Almost surely, 2^{873777843929088} is an apocalyptic number.

873777843929088 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873777843929088

873777843929088 is an abundant number, since it is smaller than the sum of its proper divisors (2175526551333663).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

873777843929088 is an frugal number, since it uses more digits than its factorization.

873777843929088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 57354780672, while the sum is 90.

The spelling of 873777843929088 in words is "eight hundred seventy-three trillion, seven hundred seventy-seven billion, eight hundred forty-three million, nine hundred twenty-nine thousand, eighty-eight".