10890754560 has 960 divisors, whose sum is σ = 46543521024. Its totient is φ = 2388787200.

The previous prime is 10890754549. The next prime is 10890754619. The reversal of 10890754560 is 6545709801.

10890754560 is a `hidden beast` number, since 1 + 0 + 89 + 0 + 7 + 5 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 178536930 + ... + 178536990.

Almost surely, 2^10890754560 is an apocalyptic number.

10890754560 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 10890754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23271760512).

10890754560 is an abundant number, since it is smaller than the sum of its proper divisors (35652766464).

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

10890754560 is an frugal number, since it uses more digits than its factorization.

10890754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10890754560 in words is "ten billion, eight hundred ninety million, seven hundred fifty-four thousand, five hundred sixty".