10517156640 has 576 divisors, whose sum is σ = 40947379200. Its totient is φ = 2537339904.

The previous prime is 10517156609. The next prime is 10517156669. The reversal of 10517156640 is 4665171501.

It is a happy number.

10517156640 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 7 + 1 + 5 + 6 + 640 = 666.

It is a super-2 number, since 2×10517156640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10517156595 and 10517156604.

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, 16990251 + ... + 16990869.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 2^10517156640 is an apocalyptic number.

10517156640 is a gapful number since it is divisible by the number (10) 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 10517156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

10517156640 is an abundant number, since it is smaller than the sum of its proper divisors (30430222560).

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

10517156640 is a wasteful number, since it uses less digits than its factorization.

10517156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10517156640 in words is "ten billion, five hundred seventeen million, one hundred fifty-six thousand, six hundred forty".