83558997120 has 512 divisors, whose sum is σ = 285351413760. Its totient is φ = 20761804800.

The previous prime is 83558997061. The next prime is 83558997131. The reversal of 83558997120 is 2179985538.

It is an unprimeable number.

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, 236710864 + ... + 236711216.

It is an arithmetic number, because the mean of its divisors is an integer number (557326980).

Almost surely, 2^83558997120 is an apocalyptic number.

83558997120 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 83558997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142675706880).

83558997120 is an abundant number, since it is smaller than the sum of its proper divisors (201792416640).

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

83558997120 is a wasteful number, since it uses less digits than its factorization.

83558997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 83558997120 in words is "eighty-three billion, five hundred fifty-eight million, nine hundred ninety-seven thousand, one hundred twenty".