5904717467200 has 504 divisors, whose sum is σ = 16475796497160. Its totient is φ = 2074234060800.

The previous prime is 5904717467197. The next prime is 5904717467213. The reversal of 5904717467200 is 27647174095.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 536562110016 + 5368155357184 = 732504^2 + 2316928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 589935796 + ... + 589945804.

It is an arithmetic number, because the mean of its divisors is an integer number (32690072415).

Almost surely, 2^{5904717467200} is an apocalyptic number.

5904717467200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5904717467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237898248580).

5904717467200 is an abundant number, since it is smaller than the sum of its proper divisors (10571079029960).

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

5904717467200 is a wasteful number, since it uses less digits than its factorization.

5904717467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 52.

The spelling of 5904717467200 in words is "five trillion, nine hundred four billion, seven hundred seventeen million, four hundred sixty-seven thousand, two hundred".