10197868372992 has 1056 divisors, whose sum is σ = 33559442916480. Its totient is φ = 2963511705600.

The previous prime is 10197868372957. The next prime is 10197868373027. The reversal of 10197868372992 is 29927386879101.

10197868372992 is a `hidden beast` number, since 1 + 0 + 1 + 97 + 86 + 8 + 372 + 9 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (10197868372957) and next prime (10197868373027).

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 10197868372992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32169931618 + ... + 32169931934.

Almost surely, 2^{10197868372992} is an apocalyptic number.

10197868372992 is a gapful number since it is divisible by the number (12) 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 10197868372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16779721458240).

10197868372992 is an abundant number, since it is smaller than the sum of its proper divisors (23361574543488).

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

10197868372992 is a wasteful number, since it uses less digits than its factorization.

10197868372992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 10197868372992 in words is "ten trillion, one hundred ninety-seven billion, eight hundred sixty-eight million, three hundred seventy-two thousand, nine hundred ninety-two".