82415878272 has 512 divisors, whose sum is σ = 300789350400. Its totient is φ = 21633454080.

The previous prime is 82415878249. The next prime is 82415878283. The reversal of 82415878272 is 27287851428.

82415878272 is a `hidden beast` number, since 8 + 2 + 415 + 87 + 82 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85227933 + ... + 85228899.

It is an arithmetic number, because the mean of its divisors is an integer number (587479200).

Almost surely, 2^82415878272 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 82415878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150394675200).

82415878272 is an abundant number, since it is smaller than the sum of its proper divisors (218373472128).

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

82415878272 is a wasteful number, since it uses less digits than its factorization.

82415878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1263 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The spelling of 82415878272 in words is "eighty-two billion, four hundred fifteen million, eight hundred seventy-eight thousand, two hundred seventy-two".