11899418400 has 216 divisors, whose sum is σ = 43515121104. Its totient is φ = 3173126400.

The previous prime is 11899418381. The next prime is 11899418441. The reversal of 11899418400 is 481499811.

11899418400 is a `hidden beast` number, since 118 + 99 + 41 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163795 + ... + 225005.

It is an arithmetic number, because the mean of its divisors is an integer number (201458894).

Almost surely, 2^11899418400 is an apocalyptic number.

11899418400 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 11899418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757560552).

11899418400 is an abundant number, since it is smaller than the sum of its proper divisors (31615702704).

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

11899418400 is an equidigital number, since it uses as much as digits as its factorization.

11899418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61246 (or 61221 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11899418400 in words is "eleven billion, eight hundred ninety-nine million, four hundred eighteen thousand, four hundred".