10560998400 has 264 divisors, whose sum is σ = 36962433360. Its totient is φ = 2650275840.

The previous prime is 10560998369. The next prime is 10560998471. The reversal of 10560998400 is 489906501.

It is a super-2 number, since 2×10560998400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301556 + ... + 1309644.

Almost surely, 2^10560998400 is an apocalyptic number.

10560998400 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 10560998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481216680).

10560998400 is an abundant number, since it is smaller than the sum of its proper divisors (26401434960).

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

10560998400 is a wasteful number, since it uses less digits than its factorization.

10560998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 10560998400 in words is "ten billion, five hundred sixty million, nine hundred ninety-eight thousand, four hundred".