5949358800 has 720 divisors, whose sum is σ = 24917976576. Its totient is φ = 1178496000.

The previous prime is 5949358799. The next prime is 5949358817. The reversal of 5949358800 is 88539495.

It is a happy number.

It is a super-2 number, since 2×5949358800² = 70789740262274880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 88796367 + ... + 88796433.

Almost surely, 2^5949358800 is an apocalyptic number.

5949358800 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 5949358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458988288).

5949358800 is an abundant number, since it is smaller than the sum of its proper divisors (18968617776).

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

5949358800 is a wasteful number, since it uses less digits than its factorization.

5949358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 5949358800 is about 77132.0867084510. The cubic root of 5949358800 is about 1811.9938550245.

The spelling of 5949358800 in words is "five billion, nine hundred forty-nine million, three hundred fifty-eight thousand, eight hundred".