10688532710400 has 198 divisors, whose sum is σ = 38270004569082. Its totient is φ = 2850275328000.

The previous prime is 10688532710351. The next prime is 10688532710423. The reversal of 10688532710400 is 401723588601.

10688532710400 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 532 + 7 + 104 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36716691456 + 10651816018944 = 191616^2 + 3263712^2 .

It is a super-2 number, since 2×10688532710400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22965201 + ... + 23426000.

It is an arithmetic number, because the mean of its divisors is an integer number (193282851359).

Almost surely, 2^{10688532710400} is an apocalyptic number.

10688532710400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10688532710400 is an abundant number, since it is smaller than the sum of its proper divisors (27581471858682).

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

10688532710400 is a wasteful number, since it uses less digits than its factorization.

10688532710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46391237 (or 46391211 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10688532710400 in words is "ten trillion, six hundred eighty-eight billion, five hundred thirty-two million, seven hundred ten thousand, four hundred".