82851599952 has 160 divisors (see below), whose sum is σ = 262989298560. Its totient is φ = 24762516480.

The previous prime is 82851599867. The next prime is 82851599977. The reversal of 82851599952 is 25999515828.

82851599952 is a `hidden beast` number, since 8 + 28 + 515 + 9 + 9 + 95 + 2 = 666.

It is a super-2 number, since 2×82851599952² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82851599952.

It is a congruent number.

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, 227478 + ... + 466314.

It is an arithmetic number, because the mean of its divisors is an integer number (1643683116).

Almost surely, 2^82851599952 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 82851599952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131494649280).

82851599952 is an abundant number, since it is smaller than the sum of its proper divisors (180137698608).

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

82851599952 is a wasteful number, since it uses less digits than its factorization.

82851599952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238938 (or 238926 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 63.

The spelling of 82851599952 in words is "eighty-two billion, eight hundred fifty-one million, five hundred ninety-nine thousand, nine hundred fifty-two".