11107860480 has 512 divisors, whose sum is σ = 41271321600. Its totient is φ = 2866544640.

The previous prime is 11107860473. The next prime is 11107860527. The reversal of 11107860480 is 8406870111.

11107860480 is a `hidden beast` number, since 1 + 110 + 7 + 8 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

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, 358318065 + ... + 358318095.

It is an arithmetic number, because the mean of its divisors is an integer number (80608050).

Almost surely, 2^11107860480 is an apocalyptic number.

11107860480 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 11107860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635660800).

11107860480 is an abundant number, since it is smaller than the sum of its proper divisors (30163461120).

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

11107860480 is an frugal number, since it uses more digits than its factorization.

11107860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11107860480 in words is "eleven billion, one hundred seven million, eight hundred sixty thousand, four hundred eighty".