11881900800 has 1728 divisors, whose sum is σ = 58396262400. Its totient is φ = 2289254400.

The previous prime is 11881900777. The next prime is 11881900843. The reversal of 11881900800 is 800918811.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252806377 + ... + 252806423.

Almost surely, 2^11881900800 is an apocalyptic number.

11881900800 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 11881900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198131200).

11881900800 is an abundant number, since it is smaller than the sum of its proper divisors (46514361600).

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

11881900800 is a wasteful number, since it uses less digits than its factorization.

11881900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

It can be divided in two parts, 1188 and 1900800, that multiplied together give a square (2258150400 = 47520²).

The spelling of 11881900800 in words is "eleven billion, eight hundred eighty-one million, nine hundred thousand, eight hundred".