107327583880992 has 96 divisors (see below), whose sum is σ = 313040965628160. Its totient is φ = 35775612230400.

The previous prime is 107327583880969. The next prime is 107327583881009. The reversal of 107327583880992 is 299088385723701.

107327583880992 is a `hidden beast` number, since 1 + 0 + 7 + 32 + 7 + 583 + 8 + 8 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×107327583880992³ (a number of 43 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107327583880992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156822742 + ... + 157505642.

It is an arithmetic number, because the mean of its divisors is an integer number (3260843391960).

Almost surely, 2^{107327583880992} is an apocalyptic number.

107327583880992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107327583880992 is an abundant number, since it is smaller than the sum of its proper divisors (205713381747168).

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

107327583880992 is a wasteful number, since it uses less digits than its factorization.

107327583880992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864823 (or 864809 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 107327583880992 in words is "one hundred seven trillion, three hundred twenty-seven billion, five hundred eighty-three million, eight hundred eighty thousand, nine hundred ninety-two".