5890790400 has 528 divisors, whose sum is σ = 22418088960. Its totient is φ = 1349222400.

The previous prime is 5890790371. The next prime is 5890790413. The reversal of 5890790400 is 40970985.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16051017 + ... + 16051383.

Almost surely, 2^5890790400 is an apocalyptic number.

5890790400 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 5890790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11209044480).

5890790400 is an abundant number, since it is smaller than the sum of its proper divisors (16527298560).

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

5890790400 is a wasteful number, since it uses less digits than its factorization.

5890790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 5890790400 is about 76751.4846761937. The cubic root of 5890790400 is about 1806.0281841890.

The spelling of 5890790400 in words is "five billion, eight hundred ninety million, seven hundred ninety thousand, four hundred".