107852773968576 has 1344 divisors, whose sum is σ = 404991007948800. Its totient is φ = 26667020869632.

The previous prime is 107852773968517. The next prime is 107852773968623. The reversal of 107852773968576 is 675869377258701.

107852773968576 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 5 + 2 + 7 + 7 + 39 + 6 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 107852773968495 and 107852773968504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13238338135 + ... + 13238346281.

It is an arithmetic number, because the mean of its divisors is an integer number (301332595200).

Almost surely, 2^{107852773968576} is an apocalyptic number.

107852773968576 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 107852773968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202495503974400).

107852773968576 is an abundant number, since it is smaller than the sum of its proper divisors (297138233980224).

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

107852773968576 is a wasteful number, since it uses less digits than its factorization.

107852773968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 7468070400, while the sum is 81.

The spelling of 107852773968576 in words is "one hundred seven trillion, eight hundred fifty-two billion, seven hundred seventy-three million, nine hundred sixty-eight thousand, five hundred seventy-six".