8517661479360 has 1120 divisors, whose sum is σ = 33993036310464. Its totient is φ = 2006581248000.

The previous prime is 8517661479359. The next prime is 8517661479409. The reversal of 8517661479360 is 639741667158.

8517661479360 is a `hidden beast` number, since 8 + 5 + 1 + 7 + 6 + 614 + 7 + 9 + 3 + 6 + 0 = 666.

It is a congruent number.

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, 3284866224 + ... + 3284868816.

Almost surely, 2^{8517661479360} is an apocalyptic number.

8517661479360 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 8517661479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996518155232).

8517661479360 is an abundant number, since it is smaller than the sum of its proper divisors (25475374831104).

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

8517661479360 is a wasteful number, since it uses less digits than its factorization.

8517661479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 8517661479360 in words is "eight trillion, five hundred seventeen billion, six hundred sixty-one million, four hundred seventy-nine thousand, three hundred sixty".