10557698760 has 432 divisors, whose sum is σ = 41498119260. Its totient is φ = 2410248960.

The previous prime is 10557698759. The next prime is 10557698779. The reversal of 10557698760 is 6789675501.

10557698760 is a `hidden beast` number, since 1 + 0 + 5 + 576 + 9 + 8 + 7 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10186057476 + 371641284 = 100926^2 + 19278^2 .

It is a super-2 number, since 2×10557698760² (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 a junction number, because it is equal to n+sod(n) for n = 10557698697 and 10557698706.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12859150 + ... + 12859970.

Almost surely, 2^10557698760 is an apocalyptic number.

10557698760 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 10557698760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20749059630).

10557698760 is an abundant number, since it is smaller than the sum of its proper divisors (30940420500).

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

10557698760 is an frugal number, since it uses more digits than its factorization.

10557698760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 10557698760 in words is "ten billion, five hundred fifty-seven million, six hundred ninety-eight thousand, seven hundred sixty".