11186042560 has 224 divisors, whose sum is σ = 33326880768. Its totient is φ = 3474247680.

The previous prime is 11186042557. The next prime is 11186042563. The reversal of 11186042560 is 6524068111.

It is an interprime number because it is at equal distance from previous prime (11186042557) and next prime (11186042563).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (11186042563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9042262 + ... + 9043498.

Almost surely, 2^11186042560 is an apocalyptic number.

11186042560 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 11186042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663440384).

11186042560 is an abundant number, since it is smaller than the sum of its proper divisors (22140838208).

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

11186042560 is a wasteful number, since it uses less digits than its factorization.

11186042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 11186042560 in words is "eleven billion, one hundred eighty-six million, forty-two thousand, five hundred sixty".