5093622144000 has 3696 divisors, whose sum is σ = 22994088230880. Its totient is φ = 1117952409600.

The previous prime is 5093622143927. The next prime is 5093622144001. The reversal of 5093622144000 is 4412263905.

It is a happy number.

5093622144000 is a `hidden beast` number, since 5 + 0 + 9 + 36 + 2 + 214 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093622144001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 268085375991 + ... + 268085376009.

Almost surely, 2^{5093622144000} is an apocalyptic number.

5093622144000 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 5093622144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11497044115440).

5093622144000 is an abundant number, since it is smaller than the sum of its proper divisors (17900466086880).

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

5093622144000 is a wasteful number, since it uses less digits than its factorization.

5093622144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 5093622144000 in words is "five trillion, ninety-three billion, six hundred twenty-two million, one hundred forty-four thousand".