82515787344 has 400 divisors, whose sum is σ = 267371280000. Its totient is φ = 24445504512.

The previous prime is 82515787327. The next prime is 82515787411. The reversal of 82515787344 is 44378751528.

82515787344 is a `hidden beast` number, since 8 + 2 + 515 + 7 + 87 + 3 + 44 = 666.

It is a super-2 number, since 2×82515787344² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30015282 + ... + 30018030.

It is an arithmetic number, because the mean of its divisors is an integer number (668428200).

Almost surely, 2^82515787344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82515787344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133685640000).

82515787344 is an abundant number, since it is smaller than the sum of its proper divisors (184855492656).

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

82515787344 is a wasteful number, since it uses less digits than its factorization.

82515787344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2849 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 82515787344 in words is "eighty-two billion, five hundred fifteen million, seven hundred eighty-seven thousand, three hundred forty-four".