10076448688992 has 192 divisors, whose sum is σ = 33773735923200. Its totient is φ = 2863079032320.

The previous prime is 10076448688979. The next prime is 10076448689009. The reversal of 10076448688992 is 29988684467001.

10076448688992 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 64 + 486 + 8 + 89 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10076448688992.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3507742 + ... + 5697117.

It is an arithmetic number, because the mean of its divisors is an integer number (175904874600).

Almost surely, 2^{10076448688992} is an apocalyptic number.

10076448688992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10076448688992 is an abundant number, since it is smaller than the sum of its proper divisors (23697287234208).

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

10076448688992 is a wasteful number, since it uses less digits than its factorization.

10076448688992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205066 (or 9205052 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 10076448688992 in words is "ten trillion, seventy-six billion, four hundred forty-eight million, six hundred eighty-eight thousand, nine hundred ninety-two".