82587297408 has 384 divisors, whose sum is σ = 284499640320. Its totient is φ = 20756736000.

The previous prime is 82587297379. The next prime is 82587297431. The reversal of 82587297408 is 80479278528.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10078593 + ... + 10086783.

It is an arithmetic number, because the mean of its divisors is an integer number (740884480).

Almost surely, 2^82587297408 is an apocalyptic number.

82587297408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82587297408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142249820160).

82587297408 is an abundant number, since it is smaller than the sum of its proper divisors (201912342912).

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

82587297408 is a wasteful number, since it uses less digits than its factorization.

82587297408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 82587297408 in words is "eighty-two billion, five hundred eighty-seven million, two hundred ninety-seven thousand, four hundred eight".