5596137331200 has 2400 divisors, whose sum is σ = 23465691849600. Its totient is φ = 1307622113280.

The previous prime is 5596137331159. The next prime is 5596137331207. The reversal of 5596137331200 is 21337316955.

5596137331200 is a `hidden beast` number, since 5 + 5 + 9 + 613 + 7 + 3 + 3 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5596137331207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40259980731 + ... + 40259980869.

It is an arithmetic number, because the mean of its divisors is an integer number (9777371604).

Almost surely, 2^{5596137331200} is an apocalyptic number.

5596137331200 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 5596137331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732845924800).

5596137331200 is an abundant number, since it is smaller than the sum of its proper divisors (17869554518400).

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

5596137331200 is a wasteful number, since it uses less digits than its factorization.

5596137331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 5596137331200 in words is "five trillion, five hundred ninety-six billion, one hundred thirty-seven million, three hundred thirty-one thousand, two hundred".