11800454400 has 972 divisors, whose sum is σ = 50849800092. Its totient is φ = 2601123840.

The previous prime is 11800454383. The next prime is 11800454429. The reversal of 11800454400 is 445400811.

It is a happy number.

11800454400 is a `hidden beast` number, since 1 + 180 + 0 + 45 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 669360384 + 11131094016 = 25872^2 + 105504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 104428744 + ... + 104428856.

Almost surely, 2^11800454400 is an apocalyptic number.

11800454400 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 11800454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25424900046).

11800454400 is an abundant number, since it is smaller than the sum of its proper divisors (39049345692).

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

11800454400 is a wasteful number, since it uses less digits than its factorization.

11800454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 11800454400 in words is "eleven billion, eight hundred million, four hundred fifty-four thousand, four hundred".