5644131091200 has 972 divisors, whose sum is σ = 23859120606048. Its totient is φ = 1268899430400.

The previous prime is 5644131091163. The next prime is 5644131091259. The reversal of 5644131091200 is 21901314465.

It is a happy number.

5644131091200 is a `hidden beast` number, since 5 + 6 + 441 + 3 + 1 + 0 + 9 + 1 + 200 = 666.

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 107 ways as a sum of consecutive naturals, for example, 172150009 + ... + 172182791.

Almost surely, 2^{5644131091200} is an apocalyptic number.

5644131091200 is a gapful number since it is divisible by the number (50) 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 5644131091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929560303024).

5644131091200 is an abundant number, since it is smaller than the sum of its proper divisors (18214989514848).

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

5644131091200 is a wasteful number, since it uses less digits than its factorization.

5644131091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32890 (or 32861 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 5644131091200 in words is "five trillion, six hundred forty-four billion, one hundred thirty-one million, ninety-one thousand, two hundred".