83907504084960 has 1728 divisors, whose sum is σ = 322269215224320. Its totient is φ = 20576540160000.

The previous prime is 83907504084853. The next prime is 83907504084977. The reversal of 83907504084960 is 6948040570938.

83907504084960 is a `hidden beast` number, since 8 + 3 + 90 + 7 + 50 + 4 + 0 + 8 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 215700524446 + ... + 215700524834.

It is an arithmetic number, because the mean of its divisors is an integer number (186498388440).

Almost surely, 2^{83907504084960} is an apocalyptic number.

83907504084960 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 83907504084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161134607612160).

83907504084960 is an abundant number, since it is smaller than the sum of its proper divisors (238361711139360).

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

83907504084960 is a wasteful number, since it uses less digits than its factorization.

83907504084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 83907504084960 in words is "eighty-three trillion, nine hundred seven billion, five hundred four million, eighty-four thousand, nine hundred sixty".