11887086400 has 504 divisors, whose sum is σ = 36135234816. Its totient is φ = 3832012800.

The previous prime is 11887086383. The next prime is 11887086433. The reversal of 11887086400 is 468078811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162836764 + ... + 162836836.

Almost surely, 2^11887086400 is an apocalyptic number.

11887086400 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 11887086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18067617408).

11887086400 is an abundant number, since it is smaller than the sum of its proper divisors (24248148416).

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

11887086400 is a wasteful number, since it uses less digits than its factorization.

11887086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The spelling of 11887086400 in words is "eleven billion, eight hundred eighty-seven million, eighty-six thousand, four hundred".