82991092800 has 1008 divisors, whose sum is σ = 346846550400. Its totient is φ = 17004134400.

The previous prime is 82991092783. The next prime is 82991092823. The reversal of 82991092800 is 829019928.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82991092800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 556987126 + ... + 556987274.

It is an arithmetic number, because the mean of its divisors is an integer number (344093800).

Almost surely, 2^82991092800 is an apocalyptic number.

82991092800 is a gapful number since it is divisible by the number (80) 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 82991092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173423275200).

82991092800 is an abundant number, since it is smaller than the sum of its proper divisors (263855457600).

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

82991092800 is a wasteful number, since it uses less digits than its factorization.

82991092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 82991092800 in words is "eighty-two billion, nine hundred ninety-one million, ninety-two thousand, eight hundred".