10688928926400 has 252 divisors, whose sum is σ = 37995863378200. Its totient is φ = 2850014453760.

The previous prime is 10688928926399. The next prime is 10688928926447. The reversal of 10688928926400 is 462982988601.

10688928926400 is a `hidden beast` number, since 1 + 0 + 68 + 8 + 92 + 89 + 2 + 6 + 400 = 666.

It is a super-2 number, since 2×10688928926400² (a number of 27 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 122918136 + ... + 123005064.

Almost surely, 2^{10688928926400} is an apocalyptic number.

10688928926400 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 10688928926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18997931689100).

10688928926400 is an abundant number, since it is smaller than the sum of its proper divisors (27306934451800).

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

10688928926400 is a wasteful number, since it uses less digits than its factorization.

10688928926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95496 (or 95478 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 10688928926400 in words is "ten trillion, six hundred eighty-eight billion, nine hundred twenty-eight million, nine hundred twenty-six thousand, four hundred".