83601952896 has 512 divisors, whose sum is σ = 297480960000. Its totient is φ = 20565135360.

The previous prime is 83601952817. The next prime is 83601952897. The reversal of 83601952896 is 69825910638.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (83601952897) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27526290 + ... + 27529326.

It is an arithmetic number, because the mean of its divisors is an integer number (581017500).

Almost surely, 2^83601952896 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 83601952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480000).

83601952896 is an abundant number, since it is smaller than the sum of its proper divisors (213879007104).

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

83601952896 is a wasteful number, since it uses less digits than its factorization.

83601952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 83601952896 in words is "eighty-three billion, six hundred one million, nine hundred fifty-two thousand, eight hundred ninety-six".