10717536960 has 336 divisors, whose sum is σ = 41072653440. Its totient is φ = 2546933760.

The previous prime is 10717536959. The next prime is 10717536983. The reversal of 10717536960 is 6963571701.

10717536960 is a `hidden beast` number, since 10 + 7 + 17 + 536 + 96 + 0 = 666.

It is a super-2 number, since 2×10717536960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080825 + ... + 1090695.

It is an arithmetic number, because the mean of its divisors is an integer number (122240040).

Almost surely, 2^10717536960 is an apocalyptic number.

10717536960 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 10717536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536326720).

10717536960 is an abundant number, since it is smaller than the sum of its proper divisors (30355116480).

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

10717536960 is a wasteful number, since it uses less digits than its factorization.

10717536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 10717536960 in words is "ten billion, seven hundred seventeen million, five hundred thirty-six thousand, nine hundred sixty".