5557834800 has 450 divisors, whose sum is σ = 22535423092. Its totient is φ = 1268386560.

The previous prime is 5557834759. The next prime is 5557834813. The reversal of 5557834800 is 84387555.

It is a tau number, because it is divible by the number of its divisors (450).

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 89 ways as a sum of consecutive naturals, for example, 8643279 + ... + 8643921.

Almost surely, 2^5557834800 is an apocalyptic number.

5557834800 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 5557834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267711546).

5557834800 is an abundant number, since it is smaller than the sum of its proper divisors (16977588292).

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

5557834800 is a wasteful number, since it uses less digits than its factorization.

5557834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 5557834800 is about 74550.8873186631. The cubic root of 5557834800 is about 1771.3397880531.

The spelling of 5557834800 in words is "five billion, five hundred fifty-seven million, eight hundred thirty-four thousand, eight hundred".