107946517831680 has 672 divisors, whose sum is σ = 381770193901824. Its totient is φ = 26023624704000.

The previous prime is 107946517831679. The next prime is 107946517831721. The reversal of 107946517831680 is 86138715649701.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2691174825 + ... + 2691214935.

It is an arithmetic number, because the mean of its divisors is an integer number (568110407592).

Almost surely, 2^{107946517831680} is an apocalyptic number.

107946517831680 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 107946517831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190885096950912).

107946517831680 is an abundant number, since it is smaller than the sum of its proper divisors (273823676070144).

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

107946517831680 is a wasteful number, since it uses less digits than its factorization.

107946517831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40348 (or 40313 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 107946517831680 in words is "one hundred seven trillion, nine hundred forty-six billion, five hundred seventeen million, eight hundred thirty-one thousand, six hundred eighty".