83015381520 has 160 divisors (see below), whose sum is σ = 293670311040. Its totient is φ = 21539105280.

The previous prime is 83015381513. The next prime is 83015381549. The reversal of 83015381520 is 2518351038.

83015381520 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 53 + 81 + 520 = 666.

It is a super-2 number, since 2×83015381520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439446 + ... + 599285.

It is an arithmetic number, because the mean of its divisors is an integer number (1835439444).

Almost surely, 2^83015381520 is an apocalyptic number.

83015381520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83015381520 is an abundant number, since it is smaller than the sum of its proper divisors (210654929520).

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

83015381520 is a wasteful number, since it uses less digits than its factorization.

83015381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038790 (or 1038778 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 83015381520 in words is "eighty-three billion, fifteen million, three hundred eighty-one thousand, five hundred twenty".