83975186558016 has 168 divisors, whose sum is σ = 260530889522904. Its totient is φ = 25707358494720.

The previous prime is 83975186557963. The next prime is 83975186558047. The reversal of 83975186558016 is 61085568157938.

83975186558016 is a `hidden beast` number, since 8 + 3 + 9 + 7 + 51 + 8 + 6 + 558 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4811459798016 + 79163726760000 = 2193504^2 + 8897400^2 .

It is a super-3 number, since 3×83975186558016³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26988405 + ... + 29938676.

It is an arithmetic number, because the mean of its divisors is an integer number (1550779104303).

Almost surely, 2^{83975186558016} is an apocalyptic number.

It is an amenable number.

83975186558016 is an abundant number, since it is smaller than the sum of its proper divisors (176555702964888).

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

83975186558016 is a wasteful number, since it uses less digits than its factorization.

83975186558016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56927309 (or 56927296 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 72.

The spelling of 83975186558016 in words is "eighty-three trillion, nine hundred seventy-five billion, one hundred eighty-six million, five hundred fifty-eight thousand, sixteen".