81615052592496 has 480 divisors, whose sum is σ = 248714031283200. Its totient is φ = 25613646336000.

The previous prime is 81615052592461. The next prime is 81615052592501. The reversal of 81615052592496 is 69429525051618.

81615052592496 is a `hidden beast` number, since 8 + 1 + 6 + 1 + 5 + 0 + 52 + 5 + 92 + 496 = 666.

It is a super-2 number, since 2×81615052592496² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2375897721 + ... + 2375932071.

It is an arithmetic number, because the mean of its divisors is an integer number (518154231840).

Almost surely, 2^{81615052592496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81615052592496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124357015641600).

81615052592496 is an abundant number, since it is smaller than the sum of its proper divisors (167098978690704).

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

81615052592496 is a wasteful number, since it uses less digits than its factorization.

81615052592496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34586 (or 34543 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 81615052592496 in words is "eighty-one trillion, six hundred fifteen billion, fifty-two million, five hundred ninety-two thousand, four hundred ninety-six".