820815075564 has 48 divisors (see below), whose sum is σ = 2092508576256. Its totient is φ = 248355518400.

The previous prime is 820815075527. The next prime is 820815075581. The reversal of 820815075564 is 465570518028.

820815075564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 4616452 + ... + 4790955.

It is an arithmetic number, because the mean of its divisors is an integer number (43593928672).

Almost surely, 2^820815075564 is an apocalyptic number.

It is an amenable number.

820815075564 is an abundant number, since it is smaller than the sum of its proper divisors (1271693500692).

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

820815075564 is a wasteful number, since it uses less digits than its factorization.

820815075564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408086 (or 9408084 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 820815075564 in words is "eight hundred twenty billion, eight hundred fifteen million, seventy-five thousand, five hundred sixty-four".