87382275057664 has 48 divisors (see below), whose sum is σ = 174799511883360. Its totient is φ = 43671725568000.

The previous prime is 87382275057661. The next prime is 87382275057703. The reversal of 87382275057664 is 46675057228378.

87382275057664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 87382275057593 and 87382275057602.

It is not an unprimeable number, because it can be changed into a prime (87382275057661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4867324 + ... + 14087419.

It is an arithmetic number, because the mean of its divisors is an integer number (3641656497570).

Almost surely, 2^{87382275057664} is an apocalyptic number.

It is an amenable number.

87382275057664 is an abundant number, since it is smaller than the sum of its proper divisors (87417236825696).

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

87382275057664 is a wasteful number, since it uses less digits than its factorization.

87382275057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18957016 (or 18956996 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 70.

The spelling of 87382275057664 in words is "eighty-seven trillion, three hundred eighty-two billion, two hundred seventy-five million, fifty-seven thousand, six hundred sixty-four".