5900146560 has 768 divisors, whose sum is σ = 25983659520. Its totient is φ = 1198080000.

The previous prime is 5900146543. The next prime is 5900146607. The reversal of 5900146560 is 656410095.

5900146560 is a `hidden beast` number, since 5 + 90 + 0 + 1 + 4 + 6 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23506435 + ... + 23506685.

It is an arithmetic number, because the mean of its divisors is an integer number (33832890).

Almost surely, 2^5900146560 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 5900146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991829760).

5900146560 is an abundant number, since it is smaller than the sum of its proper divisors (20083512960).

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

5900146560 is a wasteful number, since it uses less digits than its factorization.

5900146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5900146560 is about 76812.4114971012. The cubic root of 5900146560 is about 1806.9838313079.

The spelling of 5900146560 in words is "five billion, nine hundred million, one hundred forty-six thousand, five hundred sixty".