105572668788000 has 384 divisors, whose sum is σ = 404510023008000. Its totient is φ = 26670989491200.

The previous prime is 105572668787899. The next prime is 105572668788079. The reversal of 105572668788000 is 887866275501.

105572668788000 is a `hidden beast` number, since 1 + 0 + 557 + 2 + 6 + 6 + 8 + 78 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×105572668788000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23672335 + ... + 27776334.

It is an arithmetic number, because the mean of its divisors is an integer number (1053411518250).

Almost surely, 2^{105572668788000} is an apocalyptic number.

105572668788000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105572668788000 is an abundant number, since it is smaller than the sum of its proper divisors (298937354220000).

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

105572668788000 is a wasteful number, since it uses less digits than its factorization.

105572668788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51448722 (or 51448698 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 105572668788000 in words is "one hundred five trillion, five hundred seventy-two billion, six hundred sixty-eight million, seven hundred eighty-eight thousand".