83557594012320 has 360 divisors, whose sum is σ = 313255458295164. Its totient is φ = 20971316772864.

The previous prime is 83557594012273. The next prime is 83557594012339. The reversal of 83557594012320 is 2321049575538.

83557594012320 is a `hidden beast` number, since 8 + 3 + 5 + 5 + 7 + 594 + 0 + 1 + 23 + 20 = 666.

83557594012320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 72369933730704 + 11187660281616 = 8507052^2 + 3344796^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7409137 + ... + 14900016.

Almost surely, 2^{83557594012320} is an apocalyptic number.

83557594012320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83557594012320 is an abundant number, since it is smaller than the sum of its proper divisors (229697864282844).

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

83557594012320 is a wasteful number, since it uses less digits than its factorization.

83557594012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22309214 (or 22309180 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 83557594012320 in words is "eighty-three trillion, five hundred fifty-seven billion, five hundred ninety-four million, twelve thousand, three hundred twenty".