5586172800 has 384 divisors, whose sum is σ = 20988344160. Its totient is φ = 1293680640.

The previous prime is 5586172789. The next prime is 5586172829. The reversal of 5586172800 is 82716855.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120284 + ... + 2122916.

Almost surely, 2^5586172800 is an apocalyptic number.

5586172800 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 5586172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494172080).

5586172800 is an abundant number, since it is smaller than the sum of its proper divisors (15402171360).

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

5586172800 is a wasteful number, since it uses less digits than its factorization.

5586172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 5586172800 is about 74740.7037697666. The cubic root of 5586172800 is about 1774.3452243377.

The spelling of 5586172800 in words is "five billion, five hundred eighty-six million, one hundred seventy-two thousand, eight hundred".