83988571680 has 384 divisors, whose sum is σ = 317774016000. Its totient is φ = 20595658752.

The previous prime is 83988571673. The next prime is 83988571703. The reversal of 83988571680 is 8617588938.

83988571680 is a `hidden beast` number, since 8 + 398 + 85 + 7 + 168 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 15553621 + ... + 15559019.

It is an arithmetic number, because the mean of its divisors is an integer number (827536500).

Almost surely, 2^83988571680 is an apocalyptic number.

83988571680 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 83988571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158887008000).

83988571680 is an abundant number, since it is smaller than the sum of its proper divisors (233785444320).

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

83988571680 is a wasteful number, since it uses less digits than its factorization.

83988571680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 83988571680 in words is "eighty-three billion, nine hundred eighty-eight million, five hundred seventy-one thousand, six hundred eighty".