107257394160 has 800 divisors, whose sum is σ = 453202421760. Its totient is φ = 22950273024.

The previous prime is 107257394147. The next prime is 107257394203. The reversal of 107257394160 is 61493752701.

107257394160 is a `hidden beast` number, since 1 + 0 + 7 + 257 + 394 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 283000851 + ... + 283001229.

Almost surely, 2^107257394160 is an apocalyptic number.

107257394160 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 107257394160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226601210880).

107257394160 is an abundant number, since it is smaller than the sum of its proper divisors (345945027600).

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

107257394160 is a wasteful number, since it uses less digits than its factorization.

107257394160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 107257394160 in words is "one hundred seven billion, two hundred fifty-seven million, three hundred ninety-four thousand, one hundred sixty".