11112561504 has 384 divisors, whose sum is σ = 38189491200. Its totient is φ = 3108188160.

The previous prime is 11112561503. The next prime is 11112561511. The reversal of 11112561504 is 40516521111.

11112561504 is a `hidden beast` number, since 11 + 11 + 25 + 615 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112561503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6338292 + ... + 6340044.

It is an arithmetic number, because the mean of its divisors is an integer number (99451800).

Almost surely, 2^11112561504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094745600).

11112561504 is an abundant number, since it is smaller than the sum of its proper divisors (27076929696).

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

11112561504 is a wasteful number, since it uses less digits than its factorization.

11112561504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11112561504 in words is "eleven billion, one hundred twelve million, five hundred sixty-one thousand, five hundred four".