82865385504 has 192 divisors, whose sum is σ = 275126906880. Its totient is φ = 24018888960.

The previous prime is 82865385487. The next prime is 82865385517. The reversal of 82865385504 is 40558356828.

82865385504 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 53 + 85 + 504 = 666.

It is a super-2 number, since 2×82865385504² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29049 + ... + 408135.

It is an arithmetic number, because the mean of its divisors is an integer number (1432952640).

Almost surely, 2^82865385504 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 82865385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137563453440).

82865385504 is an abundant number, since it is smaller than the sum of its proper divisors (192261521376).

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

82865385504 is a wasteful number, since it uses less digits than its factorization.

82865385504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379140 (or 379126 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 82865385504 in words is "eighty-two billion, eight hundred sixty-five million, three hundred eighty-five thousand, five hundred four".