5896166400 has 396 divisors, whose sum is σ = 21375871192. Its totient is φ = 1552711680.

The previous prime is 5896166369. The next prime is 5896166411. The reversal of 5896166400 is 46616985.

5896166400 is a `hidden beast` number, since 5 + 89 + 6 + 166 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36172719 + ... + 36172881.

Almost surely, 2^5896166400 is an apocalyptic number.

5896166400 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 5896166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10687935596).

5896166400 is an abundant number, since it is smaller than the sum of its proper divisors (15479704792).

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

5896166400 is a wasteful number, since it uses less digits than its factorization.

5896166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5896166400 is about 76786.4988132679. The cubic root of 5896166400 is about 1806.5774175278.

The spelling of 5896166400 in words is "five billion, eight hundred ninety-six million, one hundred sixty-six thousand, four hundred".