11891156400 has 540 divisors, whose sum is σ = 44940619152. Its totient is φ = 3017710080.

The previous prime is 11891156351. The next prime is 11891156401. The reversal of 11891156400 is 465119811.

It is a happy number.

11891156400 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 1 + 1 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11891156401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 60361102 + ... + 60361298.

Almost surely, 2^11891156400 is an apocalyptic number.

11891156400 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 11891156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470309576).

11891156400 is an abundant number, since it is smaller than the sum of its proper divisors (33049462752).

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

11891156400 is an equidigital number, since it uses as much as digits as its factorization.

11891156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11891156400 in words is "eleven billion, eight hundred ninety-one million, one hundred fifty-six thousand, four hundred".