10517896872 has 256 divisors, whose sum is σ = 36893491200. Its totient is φ = 2705218560.

The previous prime is 10517896853. The next prime is 10517897009. The reversal of 10517896872 is 27869871501.

It is a super-2 number, since 2×10517896872² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582297 + ... + 600087.

It is an arithmetic number, because the mean of its divisors is an integer number (144115200).

Almost surely, 2^10517896872 is an apocalyptic number.

10517896872 is a gapful number since it is divisible by the number (12) 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 10517896872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446745600).

10517896872 is an abundant number, since it is smaller than the sum of its proper divisors (26375594328).

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

10517896872 is a wasteful number, since it uses less digits than its factorization.

10517896872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17853 (or 17843 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 10517896872 in words is "ten billion, five hundred seventeen million, eight hundred ninety-six thousand, eight hundred seventy-two".