82696619520 has 800 divisors, whose sum is σ = 309936787776. Its totient is φ = 21056716800.

The previous prime is 82696619513. The next prime is 82696619539. The reversal of 82696619520 is 2591669628.

It is a happy number.

82696619520 is a `hidden beast` number, since 8 + 26 + 96 + 6 + 1 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 603624892 + ... + 603625028.

Almost surely, 2^82696619520 is an apocalyptic number.

82696619520 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 82696619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154968393888).

82696619520 is an abundant number, since it is smaller than the sum of its proper divisors (227240168256).

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

82696619520 is a wasteful number, since it uses less digits than its factorization.

82696619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 82696619520 in words is "eighty-two billion, six hundred ninety-six million, six hundred nineteen thousand, five hundred twenty".