107712993862656 has 1584 divisors, whose sum is σ = 405699941612784. Its totient is φ = 27257399672832.

The previous prime is 107712993862637. The next prime is 107712993862667. The reversal of 107712993862656 is 656268399217701.

107712993862656 is a `hidden beast` number, since 1 + 0 + 7 + 71 + 299 + 3 + 8 + 6 + 265 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2829177824256 + 104883816038400 = 1682016^2 + 10241280^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15856465596 + ... + 15856472388.

Almost surely, 2^{107712993862656} is an apocalyptic number.

107712993862656 is a gapful number since it is divisible by the number (16) 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 107712993862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202849970806392).

107712993862656 is an abundant number, since it is smaller than the sum of its proper divisors (297986947750128).

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

107712993862656 is a wasteful number, since it uses less digits than its factorization.

107712993862656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 107712993862656 in words is "one hundred seven trillion, seven hundred twelve billion, nine hundred ninety-three million, eight hundred sixty-two thousand, six hundred fifty-six".