82996111800 has 864 divisors, whose sum is σ = 341764375680. Its totient is φ = 17962560000.

The previous prime is 82996111789. The next prime is 82996111811. The reversal of 82996111800 is 811169928.

82996111800 is a `hidden beast` number, since 8 + 29 + 9 + 611 + 1 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82996111789) and next prime (82996111811).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 330661675 + ... + 330661925.

It is an arithmetic number, because the mean of its divisors is an integer number (395560620).

Almost surely, 2^82996111800 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 82996111800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170882187840).

82996111800 is an abundant number, since it is smaller than the sum of its proper divisors (258768263880).

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

82996111800 is a wasteful number, since it uses less digits than its factorization.

82996111800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 82996111800 in words is "eighty-two billion, nine hundred ninety-six million, one hundred eleven thousand, eight hundred".