83551128675 has 288 divisors, whose sum is σ = 182286547200. Its totient is φ = 33450762240.

The previous prime is 83551128667. The next prime is 83551128697. The reversal of 83551128675 is 57682115538.

It is not a de Polignac number, because 83551128675 - 2³ = 83551128667 is a prime.

It is a super-2 number, since 2×83551128675² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Together with 98735418525 it forms an amicable pair .

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70033879 + ... + 70035071.

It is an arithmetic number, because the mean of its divisors is an integer number (632939400).

Almost surely, 2^83551128675 is an apocalyptic number.

83551128675 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83551128675 is an abundant number, since it is smaller than the sum of its proper divisors (98735418525).

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

83551128675 is a wasteful number, since it uses less digits than its factorization.

83551128675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1303 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 51.

It can be divided in two parts, 83551 and 128675, that added together give a triangular number (212226 = T₆₅₁).

The spelling of 83551128675 in words is "eighty-three billion, five hundred fifty-one million, one hundred twenty-eight thousand, six hundred seventy-five".