100568688264000 has 4480 divisors, whose sum is σ = 457368065256960. Its totient is φ = 21738461184000.

The previous prime is 100568688263993. The next prime is 100568688264029. The reversal of 100568688264000 is 462886865001.

100568688264000 is a `hidden beast` number, since 10 + 0 + 56 + 86 + 88 + 26 + 400 + 0 = 666.

It is a super-2 number, since 2×100568688264000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5293088855991 + ... + 5293088856009.

Almost surely, 2^{100568688264000} is an apocalyptic number.

100568688264000 is a gapful number since it is divisible by the number (10) 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 100568688264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228684032628480).

100568688264000 is an abundant number, since it is smaller than the sum of its proper divisors (356799376992960).

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

100568688264000 is an frugal number, since it uses more digits than its factorization.

100568688264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 100568688264000 in words is "one hundred trillion, five hundred sixty-eight billion, six hundred eighty-eight million, two hundred sixty-four thousand".