82515960000 has 840 divisors, whose sum is σ = 318437879760. Its totient is φ = 20348928000.

The previous prime is 82515959993. The next prime is 82515960001. The reversal of 82515960000 is 6951528.

It is a happy number.

82515960000 is a `hidden beast` number, since 82 + 515 + 9 + 60 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82515960001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 593639931 + ... + 593640069.

It is an arithmetic number, because the mean of its divisors is an integer number (379092714).

Almost surely, 2^82515960000 is an apocalyptic number.

82515960000 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 82515960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159218939880).

82515960000 is an abundant number, since it is smaller than the sum of its proper divisors (235921919760).

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

82515960000 is a wasteful number, since it uses less digits than its factorization.

82515960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 82515960000 in words is "eighty-two billion, five hundred fifteen million, nine hundred sixty thousand".