82591862544 has 135 divisors (see below), whose sum is σ = 240291308647. Its totient is φ = 27499582944.

The previous prime is 82591862533. The next prime is 82591862567. The reversal of 82591862544 is 44526819528.

The square root of 82591862544 is 287388.

It is a perfect power (a square), and thus also a powerful number.

82591862544 is a `hidden beast` number, since 8 + 2 + 5 + 9 + 1 + 8 + 625 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93113269 + ... + 93114155.

Almost surely, 2^82591862544 is an apocalyptic number.

82591862544 is the 287388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82591862544

82591862544 is an abundant number, since it is smaller than the sum of its proper divisors (157699446103).

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

82591862544 is an frugal number, since it uses more digits than its factorization.

82591862544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 892 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 82591862544 in words is "eighty-two billion, five hundred ninety-one million, eight hundred sixty-two thousand, five hundred forty-four".