76525044288 has 224 divisors, whose sum is σ = 252655303680. Its totient is φ = 19859159040.

The previous prime is 76525044263. The next prime is 76525044307. The reversal of 76525044288 is 88244052567.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×76525044288² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76525044288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32715823 + ... + 32718161.

Almost surely, 2^76525044288 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 76525044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126327651840).

76525044288 is an abundant number, since it is smaller than the sum of its proper divisors (176130259392).

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

76525044288 is a wasteful number, since it uses less digits than its factorization.

76525044288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 76525044288 in words is "seventy-six billion, five hundred twenty-five million, forty-four thousand, two hundred eighty-eight".