83104925952 has 288 divisors, whose sum is σ = 238941964800. Its totient is φ = 25548816384.

The previous prime is 83104925941. The next prime is 83104925989. The reversal of 83104925952 is 25952940138.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203190324 + ... + 203190732.

It is an arithmetic number, because the mean of its divisors is an integer number (829659600).

Almost surely, 2^83104925952 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 83104925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119470982400).

83104925952 is an abundant number, since it is smaller than the sum of its proper divisors (155837038848).

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

83104925952 is a wasteful number, since it uses less digits than its factorization.

83104925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 83104925952 in words is "eighty-three billion, one hundred four million, nine hundred twenty-five thousand, nine hundred fifty-two".