5925743248320 has 1344 divisors, whose sum is σ = 25233138662400. Its totient is φ = 1303759134720.

The previous prime is 5925743248303. The next prime is 5925743248393. The reversal of 5925743248320 is 238423475295.

5925743248320 is a `hidden beast` number, since 5 + 9 + 2 + 5 + 74 + 3 + 248 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5925743248320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 6028222549 + ... + 6028223531.

Almost surely, 2^{5925743248320} 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 5925743248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12616569331200).

5925743248320 is an abundant number, since it is smaller than the sum of its proper divisors (19307395414080).

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

5925743248320 is a wasteful number, since it uses less digits than its factorization.

5925743248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5925743248320 in words is "five trillion, nine hundred twenty-five billion, seven hundred forty-three million, two hundred forty-eight thousand, three hundred twenty".