2765516525520 has 80 divisors (see below), whose sum is σ = 9797829982080. Its totient is φ = 632118062592.

The previous prime is 2765516525503. The next prime is 2765516525521. The reversal of 2765516525520 is 255256155672.

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

It is a super-2 number, since 2×2765516525520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765516525521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823068715 + ... + 823072074.

It is an arithmetic number, because the mean of its divisors is an integer number (122472874776).

Almost surely, 2^{2765516525520} is an apocalyptic number.

2765516525520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2765516525520 is an abundant number, since it is smaller than the sum of its proper divisors (7032313456560).

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

2765516525520 is a wasteful number, since it uses less digits than its factorization.

2765516525520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646140812 (or 1646140806 counting only the distinct ones).

The product of its (nonzero) digits is 6300000, while the sum is 51.

The spelling of 2765516525520 in words is "two trillion, seven hundred sixty-five billion, five hundred sixteen million, five hundred twenty-five thousand, five hundred twenty".