5293004613120 has 480 divisors, whose sum is σ = 21049325256960. Its totient is φ = 1204088094720.

The previous prime is 5293004613019. The next prime is 5293004613271. The reversal of 5293004613120 is 213164003925.

5293004613120 is a `hidden beast` number, since 5 + 2 + 9 + 30 + 0 + 4 + 613 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5293004613120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33952311 + ... + 34107849.

It is an arithmetic number, because the mean of its divisors is an integer number (43852760952).

Almost surely, 2^{5293004613120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5293004613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524662628480).

5293004613120 is an abundant number, since it is smaller than the sum of its proper divisors (15756320643840).

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

5293004613120 is a wasteful number, since it uses less digits than its factorization.

5293004613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155786 (or 155767 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 5293004613120 in words is "five trillion, two hundred ninety-three billion, four million, six hundred thirteen thousand, one hundred twenty".