11859955200 has 840 divisors, whose sum is σ = 46586143296. Its totient is φ = 2985984000.

The previous prime is 11859955189. The next prime is 11859955213. The reversal of 11859955200 is 255995811.

11859955200 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 99 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 289267180 + ... + 289267220.

Almost surely, 2^11859955200 is an apocalyptic number.

11859955200 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 11859955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293071648).

11859955200 is an abundant number, since it is smaller than the sum of its proper divisors (34726188096).

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

11859955200 is an frugal number, since it uses more digits than its factorization.

11859955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 11859955200 in words is "eleven billion, eight hundred fifty-nine million, nine hundred fifty-five thousand, two hundred".