5877748800 has 1680 divisors, whose sum is σ = 29268602880. Its totient is φ = 1119744000.

The previous prime is 5877748787. The next prime is 5877748817. The reversal of 5877748800 is 88477785.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 189604785 + ... + 189604815.

Almost surely, 2^5877748800 is an apocalyptic number.

5877748800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5877748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634301440).

5877748800 is an abundant number, since it is smaller than the sum of its proper divisors (23390854080).

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

5877748800 is a wasteful number, since it uses less digits than its factorization.

5877748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 5877748800 is about 76666.4776809265. The cubic root of 5877748800 is about 1804.6944129605.

The spelling of 5877748800 in words is "five billion, eight hundred seventy-seven million, seven hundred forty-eight thousand, eight hundred".