107957181406320 has 1600 divisors, whose sum is σ = 398105659607040. Its totient is φ = 27197685964800.

The previous prime is 107957181406247. The next prime is 107957181406331. The reversal of 107957181406320 is 23604181759701.

107957181406320 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 57 + 181 + 406 + 3 + 2 + 0 = 666.

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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 311115796387 + ... + 311115796733.

It is a 1-persistent number, because it is pandigital, but 2⋅107957181406320 = 215914362812640 is not.

Almost surely, 2^{107957181406320} is an apocalyptic number.

107957181406320 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 107957181406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199052829803520).

107957181406320 is an abundant number, since it is smaller than the sum of its proper divisors (290148478200720).

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

107957181406320 is an frugal number, since it uses more digits than its factorization.

107957181406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 107957181406320 in words is "one hundred seven trillion, nine hundred fifty-seven billion, one hundred eighty-one million, four hundred six thousand, three hundred twenty".