10508866560 has 352 divisors, whose sum is σ = 39322051200. Its totient is φ = 2654208000.

The previous prime is 10508866559. The next prime is 10508866573. The reversal of 10508866560 is 6566880501.

10508866560 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 8 + 86 + 6 + 560 = 666.

It is a super-2 number, since 2×10508866560² (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 31 ways as a sum of consecutive naturals, for example, 2624560 + ... + 2628560.

Almost surely, 2^10508866560 is an apocalyptic number.

10508866560 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 10508866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661025600).

10508866560 is an abundant number, since it is smaller than the sum of its proper divisors (28813184640).

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

10508866560 is a wasteful number, since it uses less digits than its factorization.

10508866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10508866560 in words is "ten billion, five hundred eight million, eight hundred sixty-six thousand, five hundred sixty".