5795415889920 has 480 divisors, whose sum is σ = 20887873166160. Its totient is φ = 1536866058240.

The previous prime is 5795415889909. The next prime is 5795415889933. The reversal of 5795415889920 is 299885145975.

5795415889920 is a `hidden beast` number, since 5 + 7 + 9 + 541 + 58 + 8 + 9 + 9 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150109339 + ... + 150147941.

Almost surely, 2^{5795415889920} 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 5795415889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443936583080).

5795415889920 is an abundant number, since it is smaller than the sum of its proper divisors (15092457276240).

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

5795415889920 is a wasteful number, since it uses less digits than its factorization.

5795415889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38823 (or 38794 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 5795415889920 in words is "five trillion, seven hundred ninety-five billion, four hundred fifteen million, eight hundred eighty-nine thousand, nine hundred twenty".