83656890408960 has 2688 divisors, whose sum is σ = 341850636900864. Its totient is φ = 19446638837760.

The previous prime is 83656890408869. The next prime is 83656890408989. The reversal of 83656890408960 is 6980409865638.

83656890408960 is a `hidden beast` number, since 8 + 3 + 6 + 56 + 89 + 0 + 408 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 433455390624 + ... + 433455390816.

It is an arithmetic number, because the mean of its divisors is an integer number (127176576228).

Almost surely, 2^{83656890408960} is an apocalyptic number.

83656890408960 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 83656890408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170925318450432).

83656890408960 is an abundant number, since it is smaller than the sum of its proper divisors (258193746491904).

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

83656890408960 is a wasteful number, since it uses less digits than its factorization.

83656890408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 83656890408960 in words is "eighty-three trillion, six hundred fifty-six billion, eight hundred ninety million, four hundred eight thousand, nine hundred sixty".