5791481752320 has 864 divisors, whose sum is σ = 22726284182784. Its totient is φ = 1400459673600.

The previous prime is 5791481752307. The next prime is 5791481752351. The reversal of 5791481752320 is 232571841975.

5791481752320 is a `hidden beast` number, since 5 + 7 + 9 + 14 + 81 + 7 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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 95 ways as a sum of consecutive naturals, for example, 1515696010 + ... + 1515699830.

It is an arithmetic number, because the mean of its divisors is an integer number (26303569656).

Almost surely, 2^{5791481752320} 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 5791481752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11363142091392).

5791481752320 is an abundant number, since it is smaller than the sum of its proper divisors (16934802430464).

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

5791481752320 is a wasteful number, since it uses less digits than its factorization.

5791481752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 5791481752320 in words is "five trillion, seven hundred ninety-one billion, four hundred eighty-one million, seven hundred fifty-two thousand, three hundred twenty".