83101285642800 has 60 divisors (see below), whose sum is σ = 266201118346280. Its totient is φ = 22160342837760.

The previous prime is 83101285642751. The next prime is 83101285642807. The reversal of 83101285642800 is 824658210138.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83101285642800.

It is not an unprimeable number, because it can be changed into a prime (83101285642807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34625534485 + ... + 34625536884.

Almost surely, 2^{83101285642800} is an apocalyptic number.

83101285642800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83101285642800 is an abundant number, since it is smaller than the sum of its proper divisors (183099832703480).

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

83101285642800 is a wasteful number, since it uses less digits than its factorization.

83101285642800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69251071390 (or 69251071379 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 83101285642800 in words is "eighty-three trillion, one hundred one billion, two hundred eighty-five million, six hundred forty-two thousand, eight hundred".