11156056400 has 60 divisors (see below), whose sum is σ = 27726675900. Its totient is φ = 4308541440.

The previous prime is 11156056399. The next prime is 11156056403. The reversal of 11156056400 is 465065111.

11156056400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 53640976 + 11102415424 = 7324^2 + 105368^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11156056403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469265 + ... + 492464.

It is an arithmetic number, because the mean of its divisors is an integer number (462111265).

Almost surely, 2^11156056400 is an apocalyptic number.

11156056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11156056400 is an abundant number, since it is smaller than the sum of its proper divisors (16570619500).

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

11156056400 is a wasteful number, since it uses less digits than its factorization.

11156056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961776 (or 961765 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 11156056400 in words is "eleven billion, one hundred fifty-six million, fifty-six thousand, four hundred".