5754168000 has 672 divisors, whose sum is σ = 24107241600. Its totient is φ = 1309593600.

The previous prime is 5754167933. The next prime is 5754168047. The reversal of 5754168000 is 8614575.

5754168000 is a `hidden beast` number, since 57 + 541 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5754168000² = 66220898744448000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24695884 + ... + 24696116.

Almost surely, 2^5754168000 is an apocalyptic number.

5754168000 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 5754168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053620800).

5754168000 is an abundant number, since it is smaller than the sum of its proper divisors (18353073600).

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

5754168000 is a wasteful number, since it uses less digits than its factorization.

5754168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5754168000 is about 75856.2324400573. The cubic root of 5754168000 is about 1791.9567046831.

The spelling of 5754168000 in words is "five billion, seven hundred fifty-four million, one hundred sixty-eight thousand".