82562712284160 has 528 divisors, whose sum is σ = 287230568238432. Its totient is φ = 21928122777600.

The previous prime is 82562712284113. The next prime is 82562712284197. The reversal of 82562712284160 is 6148221726528.

82562712284160 is a `hidden beast` number, since 8 + 2 + 5 + 627 + 1 + 2 + 2 + 8 + 4 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82562712284097 and 82562712284106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26453927400 + ... + 26453930520.

Almost surely, 2^{82562712284160} is an apocalyptic number.

82562712284160 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 82562712284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143615284119216).

82562712284160 is an abundant number, since it is smaller than the sum of its proper divisors (204667855954272).

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

82562712284160 is a wasteful number, since it uses less digits than its factorization.

82562712284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 82562712284160 in words is "eighty-two trillion, five hundred sixty-two billion, seven hundred twelve million, two hundred eighty-four thousand, one hundred sixty".