11561136400 has 120 divisors (see below), whose sum is σ = 30666724704. Its totient is φ = 4153267200.

The previous prime is 11561136383. The next prime is 11561136427. The reversal of 11561136400 is 463116511.

It is a super-3 number, since 3×11561136400³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349372 + ... + 381028.

Almost surely, 2^11561136400 is an apocalyptic number.

11561136400 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 11561136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333362352).

11561136400 is an abundant number, since it is smaller than the sum of its proper divisors (19105588304).

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

11561136400 is a wasteful number, since it uses less digits than its factorization.

11561136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31769 (or 31758 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 11561136400 in words is "eleven billion, five hundred sixty-one million, one hundred thirty-six thousand, four hundred".