82793119752 has 96 divisors (see below), whose sum is σ = 256443295680. Its totient is φ = 23638665600.

The previous prime is 82793119751. The next prime is 82793119763. The reversal of 82793119752 is 25791139728.

It is a happy number.

82793119752 is a `hidden beast` number, since 8 + 279 + 311 + 9 + 7 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (82793119751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674698 + ... + 787910.

It is an arithmetic number, because the mean of its divisors is an integer number (2671284330).

Almost surely, 2^82793119752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82793119752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128221647840).

82793119752 is an abundant number, since it is smaller than the sum of its proper divisors (173650175928).

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

82793119752 is a wasteful number, since it uses less digits than its factorization.

82793119752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114683 (or 114676 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 82793119752 in words is "eighty-two billion, seven hundred ninety-three million, one hundred nineteen thousand, seven hundred fifty-two".