8513052799680 has 1120 divisors, whose sum is σ = 35805606661440. Its totient is φ = 1892755537920.

The previous prime is 8513052799679. The next prime is 8513052799703. The reversal of 8513052799680 is 869972503158.

8513052799680 is a `hidden beast` number, since 8 + 5 + 13 + 0 + 527 + 9 + 96 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 581922606 + ... + 581937234.

It is an arithmetic number, because the mean of its divisors is an integer number (31969291662).

Almost surely, 2^{8513052799680} is an apocalyptic number.

8513052799680 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 8513052799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902803330720).

8513052799680 is an abundant number, since it is smaller than the sum of its proper divisors (27292553861760).

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

8513052799680 is a wasteful number, since it uses less digits than its factorization.

8513052799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14839 (or 14820 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 8513052799680 in words is "eight trillion, five hundred thirteen billion, fifty-two million, seven hundred ninety-nine thousand, six hundred eighty".