11988293990400 has 3456 divisors, whose sum is σ = 57135243110400. Its totient is φ = 2331456307200.

The previous prime is 11988293990371. The next prime is 11988293990401. The reversal of 11988293990400 is 409939288911.

11988293990400 is a `hidden beast` number, since 1 + 1 + 98 + 8 + 29 + 39 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11988293990401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32665651017 + ... + 32665651383.

It is an arithmetic number, because the mean of its divisors is an integer number (16532188400).

Almost surely, 2^{11988293990400} is an apocalyptic number.

11988293990400 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 11988293990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28567621555200).

11988293990400 is an abundant number, since it is smaller than the sum of its proper divisors (45146949120000).

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

11988293990400 is a wasteful number, since it uses less digits than its factorization.

11988293990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 11988293990400 in words is "eleven trillion, nine hundred eighty-eight billion, two hundred ninety-three million, nine hundred ninety thousand, four hundred".