11883768422400 has 2352 divisors, whose sum is σ = 51478234807104. Its totient is φ = 2663975485440.

The previous prime is 11883768422369. The next prime is 11883768422401. The reversal of 11883768422400 is 422486738811.

11883768422400 is a `hidden beast` number, since 1 + 18 + 83 + 76 + 84 + 2 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11883768422401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 86742835132 + ... + 86742835268.

Almost surely, 2^{11883768422400} is an apocalyptic number.

11883768422400 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 11883768422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25739117403552).

11883768422400 is an abundant number, since it is smaller than the sum of its proper divisors (39594466384704).

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

11883768422400 is an frugal number, since it uses more digits than its factorization.

11883768422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 11883768422400 in words is "eleven trillion, eight hundred eighty-three billion, seven hundred sixty-eight million, four hundred twenty-two thousand, four hundred".