11139586560 has 560 divisors, whose sum is σ = 41219076096. Its totient is φ = 2884460544.

The previous prime is 11139586543. The next prime is 11139586639. The reversal of 11139586560 is 6568593111.

11139586560 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 9 + 5 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 87713217 + ... + 87713343.

Almost surely, 2^11139586560 is an apocalyptic number.

11139586560 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 11139586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609538048).

11139586560 is an abundant number, since it is smaller than the sum of its proper divisors (30079489536).

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

11139586560 is an frugal number, since it uses more digits than its factorization.

11139586560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11139586560 in words is "eleven billion, one hundred thirty-nine million, five hundred eighty-six thousand, five hundred sixty".