83088537575628 has 192 divisors, whose sum is σ = 213665919667200. Its totient is φ = 24973924561920.

The previous prime is 83088537575597. The next prime is 83088537575651. The reversal of 83088537575628 is 82657573588038.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83088537575628.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2197334850 + ... + 2197372662.

It is an arithmetic number, because the mean of its divisors is an integer number (1112843331600).

Almost surely, 2^{83088537575628} 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 83088537575628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106832959833600).

83088537575628 is an abundant number, since it is smaller than the sum of its proper divisors (130577382091572).

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

83088537575628 is a wasteful number, since it uses less digits than its factorization.

83088537575628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39392 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 2709504000, while the sum is 75.

The spelling of 83088537575628 in words is "eighty-three trillion, eighty-eight billion, five hundred thirty-seven million, five hundred seventy-five thousand, six hundred twenty-eight".