10900474560 has 196 divisors, whose sum is σ = 38918162448. Its totient is φ = 2906731008.

The previous prime is 10900474547. The next prime is 10900474567. The reversal of 10900474560 is 6547400901.

10900474560 is a `hidden beast` number, since 1 + 0 + 90 + 0 + 4 + 7 + 4 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10900474567) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 209917 + ... + 256643.

Almost surely, 2^10900474560 is an apocalyptic number.

10900474560 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 10900474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459081224).

10900474560 is an abundant number, since it is smaller than the sum of its proper divisors (28017687888).

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

10900474560 is an frugal number, since it uses more digits than its factorization.

10900474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46762 (or 46737 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10900474560 in words is "ten billion, nine hundred million, four hundred seventy-four thousand, five hundred sixty".