10688065274880 has 1408 divisors, whose sum is σ = 45141950592000. Its totient is φ = 2396328689664.

The previous prime is 10688065274879. The next prime is 10688065274897. The reversal of 10688065274880 is 8847256088601.

10688065274880 is a `hidden beast` number, since 1 + 0 + 68 + 8 + 0 + 6 + 527 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×10688065274880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2513062834 + ... + 2513067086.

Almost surely, 2^{10688065274880} is an apocalyptic number.

10688065274880 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 10688065274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570975296000).

10688065274880 is an abundant number, since it is smaller than the sum of its proper divisors (34453885317120).

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

10688065274880 is an equidigital number, since it uses as much as digits as its factorization.

10688065274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 10688065274880 in words is "ten trillion, six hundred eighty-eight billion, sixty-five million, two hundred seventy-four thousand, eight hundred eighty".