10612256860368 has 80 divisors (see below), whose sum is σ = 30461546913600. Its totient is φ = 3537367943040.

The previous prime is 10612256860357. The next prime is 10612256860391. The reversal of 10612256860368 is 86306865221601.

10612256860368 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 25 + 6 + 8 + 603 + 6 + 8 = 666.

It is a super-2 number, since 2×10612256860368² (a number of 27 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 15 ways as a sum of consecutive naturals, for example, 40746463 + ... + 41006081.

It is an arithmetic number, because the mean of its divisors is an integer number (380769336420).

Almost surely, 2^{10612256860368} is an apocalyptic number.

10612256860368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10612256860368 is an abundant number, since it is smaller than the sum of its proper divisors (19849290053232).

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

10612256860368 is a wasteful number, since it uses less digits than its factorization.

10612256860368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354257 (or 354245 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10612256860368 in words is "ten trillion, six hundred twelve billion, two hundred fifty-six million, eight hundred sixty thousand, three hundred sixty-eight".