5790254400 has 1008 divisors, whose sum is σ = 25942625280. Its totient is φ = 1194393600.

The previous prime is 5790254377. The next prime is 5790254413. The reversal of 5790254400 is 44520975.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53121546 + ... + 53121654.

Almost surely, 2^5790254400 is an apocalyptic number.

5790254400 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 5790254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971312640).

5790254400 is an abundant number, since it is smaller than the sum of its proper divisors (20152370880).

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

5790254400 is a wasteful number, since it uses less digits than its factorization.

5790254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5790254400 is about 76093.7211601588. The cubic root of 5790254400 is about 1795.6948967753.

The spelling of 5790254400 in words is "five billion, seven hundred ninety million, two hundred fifty-four thousand, four hundred".