83285896320000 has 1320 divisors, whose sum is σ = 329199759880992. Its totient is φ = 20106240000000.

The previous prime is 83285896319939. The next prime is 83285896320017. The reversal of 83285896320000 is 2369858238.

83285896320000 is a `hidden beast` number, since 8 + 3 + 28 + 589 + 6 + 32 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15903357382 + ... + 15903362618.

Almost surely, 2^{83285896320000} is an apocalyptic number.

83285896320000 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 83285896320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164599879940496).

83285896320000 is an abundant number, since it is smaller than the sum of its proper divisors (245913863560992).

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

83285896320000 is a wasteful number, since it uses less digits than its factorization.

83285896320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 83285896320000 in words is "eighty-three trillion, two hundred eighty-five billion, eight hundred ninety-six million, three hundred twenty thousand".