83135992642560 has 1320 divisors, whose sum is σ = 341278985829600. Its totient is φ = 18601895854080.

The previous prime is 83135992642529. The next prime is 83135992642609. The reversal of 83135992642560 is 6524629953138.

It is a happy number.

83135992642560 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 5 + 9 + 9 + 2 + 64 + 2 + 560 = 666.

83135992642560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8770539901 + ... + 8770549379.

Almost surely, 2^{83135992642560} is an apocalyptic number.

83135992642560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83135992642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170639492914800).

83135992642560 is an abundant number, since it is smaller than the sum of its proper divisors (258142993187040).

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

83135992642560 is a wasteful number, since it uses less digits than its factorization.

83135992642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9567 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 83135992642560 in words is "eighty-three trillion, one hundred thirty-five billion, nine hundred ninety-two million, six hundred forty-two thousand, five hundred sixty".