76985295552 has 168 divisors, whose sum is σ = 242716732752. Its totient is φ = 23328645120.

The previous prime is 76985295547. The next prime is 76985295553. The reversal of 76985295552 is 25559258967.

76985295552 is a `hidden beast` number, since 7 + 6 + 9 + 8 + 529 + 55 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76985295552.

It is not an unprimeable number, because it can be changed into a prime (76985295553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716448 + ... + 816864.

Almost surely, 2^76985295552 is an apocalyptic number.

76985295552 is a gapful number since it is divisible by the number (72) 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 76985295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121358366376).

76985295552 is an abundant number, since it is smaller than the sum of its proper divisors (165731437200).

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

76985295552 is a wasteful number, since it uses less digits than its factorization.

76985295552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100468 (or 100433 counting only the distinct ones).

The product of its digits is 68040000, while the sum is 63.

The spelling of 76985295552 in words is "seventy-six billion, nine hundred eighty-five million, two hundred ninety-five thousand, five hundred fifty-two".