82031938560 has 1056 divisors, whose sum is σ = 341199855360. Its totient is φ = 17960140800.

The previous prime is 82031938537. The next prime is 82031938561. The reversal of 82031938560 is 6583913028.

It is a happy number.

82031938560 is a `hidden beast` number, since 8 + 20 + 31 + 9 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×82031938560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82031938561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 388776855 + ... + 388777065.

Almost surely, 2^82031938560 is an apocalyptic number.

82031938560 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 82031938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170599927680).

82031938560 is an abundant number, since it is smaller than the sum of its proper divisors (259167916800).

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

82031938560 is a wasteful number, since it uses less digits than its factorization.

82031938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 82031938560 in words is "eighty-two billion, thirty-one million, nine hundred thirty-eight thousand, five hundred sixty".