11319010560 has 432 divisors, whose sum is σ = 46015901568. Its totient is φ = 2532556800.

The previous prime is 11319010553. The next prime is 11319010643. The reversal of 11319010560 is 6501091311.

11319010560 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 90 + 10 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1643925 + ... + 1650795.

Almost surely, 2^11319010560 is an apocalyptic number.

11319010560 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 11319010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23007950784).

11319010560 is an abundant number, since it is smaller than the sum of its proper divisors (34696891008).

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

11319010560 is a wasteful number, since it uses less digits than its factorization.

11319010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 11319010560 in words is "eleven billion, three hundred nineteen million, ten thousand, five hundred sixty".