82515801600 has 840 divisors, whose sum is σ = 316120258080. Its totient is φ = 21319925760.

The previous prime is 82515801593. The next prime is 82515801617. The reversal of 82515801600 is 610851528.

82515801600 is a `hidden beast` number, since 8 + 2 + 515 + 80 + 1 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 345254281 + ... + 345254519.

Almost surely, 2^82515801600 is an apocalyptic number.

82515801600 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 82515801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158060129040).

82515801600 is an abundant number, since it is smaller than the sum of its proper divisors (233604456480).

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

82515801600 is an equidigital number, since it uses as much as digits as its factorization.

82515801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 82515801600 in words is "eighty-two billion, five hundred fifteen million, eight hundred one thousand, six hundred".