5716598400 has 576 divisors, whose sum is σ = 22230124800. Its totient is φ = 1393459200.

The previous prime is 5716598359. The next prime is 5716598423. The reversal of 5716598400 is 48956175.

5716598400 is a `hidden beast` number, since 5 + 7 + 16 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16963032 + ... + 16963368.

Almost surely, 2^5716598400 is an apocalyptic number.

5716598400 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 5716598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115062400).

5716598400 is an abundant number, since it is smaller than the sum of its proper divisors (16513526400).

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

5716598400 is a wasteful number, since it uses less digits than its factorization.

5716598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5716598400 is about 75608.1900325619. The cubic root of 5716598400 is about 1788.0482247552.

The spelling of 5716598400 in words is "five billion, seven hundred sixteen million, five hundred ninety-eight thousand, four hundred".