10517899999464 has 512 divisors, whose sum is σ = 34881896448000. Its totient is φ = 2918772299520.

The previous prime is 10517899999447. The next prime is 10517899999487. The reversal of 10517899999464 is 46499999871501.

10517899999464 is a `hidden beast` number, since 1 + 0 + 517 + 8 + 9 + 9 + 9 + 9 + 94 + 6 + 4 = 666.

It is a super-2 number, since 2×10517899999464² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 474644817 + ... + 474666975.

It is an arithmetic number, because the mean of its divisors is an integer number (68128704000).

Almost surely, 2^{10517899999464} 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 10517899999464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440948224000).

10517899999464 is an abundant number, since it is smaller than the sum of its proper divisors (24363996448536).

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

10517899999464 is a wasteful number, since it uses less digits than its factorization.

10517899999464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22347 (or 22315 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 81.

The spelling of 10517899999464 in words is "ten trillion, five hundred seventeen billion, eight hundred ninety-nine million, nine hundred ninety-nine thousand, four hundred sixty-four".