11556556400 has 120 divisors (see below), whose sum is σ = 28426287744. Its totient is φ = 4513734400.

The previous prime is 11556556399. The next prime is 11556556411. The reversal of 11556556400 is 465565511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3036899 + ... + 3040701.

Almost surely, 2^11556556400 is an apocalyptic number.

11556556400 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 11556556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213143872).

11556556400 is an abundant number, since it is smaller than the sum of its proper divisors (16869731344).

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

11556556400 is a wasteful number, since it uses less digits than its factorization.

11556556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 11556556400 in words is "eleven billion, five hundred fifty-six million, five hundred fifty-six thousand, four hundred".