5904390584400 has 2880 divisors, whose sum is σ = 26498591981568. Its totient is φ = 1094860800000.

The previous prime is 5904390584399. The next prime is 5904390584423. The reversal of 5904390584400 is 44850934095.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39101924325 + ... + 39101924475.

Almost surely, 2^{5904390584400} is an apocalyptic number.

5904390584400 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 5904390584400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249295990784).

5904390584400 is an abundant number, since it is smaller than the sum of its proper divisors (20594201397168).

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

5904390584400 is a wasteful number, since it uses less digits than its factorization.

5904390584400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 5904390584400 in words is "five trillion, nine hundred four billion, three hundred ninety million, five hundred eighty-four thousand, four hundred".