82385374503888 has 120 divisors (see below), whose sum is σ = 230731603065600. Its totient is φ = 27441908697600.

The previous prime is 82385374503857. The next prime is 82385374503899. The reversal of 82385374503888 is 88830547358328.

82385374503888 is a `hidden beast` number, since 8 + 2 + 3 + 8 + 5 + 37 + 4 + 503 + 8 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693440588 + ... + 1693489236.

It is an arithmetic number, because the mean of its divisors is an integer number (1922763358880).

Almost surely, 2^{82385374503888} is an apocalyptic number.

It is an amenable number.

82385374503888 is an abundant number, since it is smaller than the sum of its proper divisors (148346228561712).

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

82385374503888 is a wasteful number, since it uses less digits than its factorization.

82385374503888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56937 (or 56928 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 82385374503888 in words is "eighty-two trillion, three hundred eighty-five billion, three hundred seventy-four million, five hundred three thousand, eight hundred eighty-eight".