30882515796864 has 96 divisors (see below), whose sum is σ = 93544901260200. Its totient is φ = 9752373402624.

The previous prime is 30882515796851. The next prime is 30882515796941. The reversal of 30882515796864 is 46869751528803.

30882515796864 is a `hidden beast` number, since 30 + 8 + 8 + 2 + 515 + 79 + 6 + 8 + 6 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 30882515796792 and 30882515796801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705444939 + ... + 705488714.

It is a 1-persistent number, because it is pandigital, but 2⋅30882515796864 = 61765031593728 is not.

Almost surely, 2^{30882515796864} is an apocalyptic number.

It is an amenable number.

30882515796864 is an abundant number, since it is smaller than the sum of its proper divisors (62662385463336).

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

30882515796864 is a wasteful number, since it uses less digits than its factorization.

30882515796864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410933692 (or 1410933677 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 30882515796864 in words is "thirty trillion, eight hundred eighty-two billion, five hundred fifteen million, seven hundred ninety-six thousand, eight hundred sixty-four".