82915829832960 has 3456 divisors, whose sum is σ = 347642368819200. Its totient is φ = 18781600481280.

The previous prime is 82915829832937. The next prime is 82915829832971. The reversal of 82915829832960 is 6923892851928.

82915829832960 is a `hidden beast` number, since 8 + 2 + 9 + 1 + 5 + 8 + 298 + 329 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 246041037912 + ... + 246041038248.

It is an arithmetic number, because the mean of its divisors is an integer number (100590963200).

Almost surely, 2^{82915829832960} is an apocalyptic number.

82915829832960 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 82915829832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173821184409600).

82915829832960 is an abundant number, since it is smaller than the sum of its proper divisors (264726538986240).

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

82915829832960 is a wasteful number, since it uses less digits than its factorization.

82915829832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 82915829832960 in words is "eighty-two trillion, nine hundred fifteen billion, eight hundred twenty-nine million, eight hundred thirty-two thousand, nine hundred sixty".