5901124320 has 768 divisors, whose sum is σ = 26946017280. Its totient is φ = 1170505728.

The previous prime is 5901124297. The next prime is 5901124331. The reversal of 5901124320 is 234211095.

5901124320 is a `hidden beast` number, since 590 + 1 + 12 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682599 + ... + 6683481.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 2^5901124320 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 5901124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473008640).

5901124320 is an abundant number, since it is smaller than the sum of its proper divisors (21044892960).

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

5901124320 is a wasteful number, since it uses less digits than its factorization.

5901124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5901124320 is about 76818.7758298712. The cubic root of 5901124320 is about 1807.0836423270.

The spelling of 5901124320 in words is "five billion, nine hundred one million, one hundred twenty-four thousand, three hundred twenty".