53765520 has 80 divisors (see below), whose sum is σ = 169542720. Its totient is φ = 14090752.

The previous prime is 53765519. The next prime is 53765521. The reversal of 53765520 is 2556735.

It is an interprime number because it is at equal distance from previous prime (53765519) and next prime (53765521).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×53765520² = 5781462281740800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53765521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12262 + ... + 16058.

It is an arithmetic number, because the mean of its divisors is an integer number (2119284).

Almost surely, 2^53765520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53765520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84771360).

53765520 is an abundant number, since it is smaller than the sum of its proper divisors (115777200).

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

53765520 is a wasteful number, since it uses less digits than its factorization.

53765520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 53765520 is about 7332.4975281278. The cubic root of 53765520 is about 377.4284354787.

It can be divided in two parts, 53765 and 520, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 53765520 in words is "fifty-three million, seven hundred sixty-five thousand, five hundred twenty".