10716874560 has 448 divisors, whose sum is σ = 43774156800. Its totient is φ = 2417485824.

The previous prime is 10716874543. The next prime is 10716874631. The reversal of 10716874560 is 6547861701.

10716874560 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 6 + 87 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10716874560² (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 a congruent number.

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, 4776799 + ... + 4779041.

Almost surely, 2^10716874560 is an apocalyptic number.

10716874560 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 10716874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21887078400).

10716874560 is an abundant number, since it is smaller than the sum of its proper divisors (33057282240).

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

10716874560 is a wasteful number, since it uses less digits than its factorization.

10716874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10716874560 in words is "ten billion, seven hundred sixteen million, eight hundred seventy-four thousand, five hundred sixty".