82570953504 has 384 divisors, whose sum is σ = 255408007680. Its totient is φ = 23121690624.

The previous prime is 82570953503. The next prime is 82570953523. The reversal of 82570953504 is 40535907528.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82570953503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230002477 + ... + 230002835.

It is an arithmetic number, because the mean of its divisors is an integer number (665125020).

Almost surely, 2^82570953504 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 82570953504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127704003840).

82570953504 is an abundant number, since it is smaller than the sum of its proper divisors (172837054176).

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

82570953504 is a wasteful number, since it uses less digits than its factorization.

82570953504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 82570953504 in words is "eighty-two billion, five hundred seventy million, nine hundred fifty-three thousand, five hundred four".