5590832800 has 144 divisors (see below), whose sum is σ = 15700245120. Its totient is φ = 1904348160.

The previous prime is 5590832791. The next prime is 5590832809. The reversal of 5590832800 is 82380955.

It is an interprime number because it is at equal distance from previous prime (5590832791) and next prime (5590832809).

It is a super-2 number, since 2×5590832800² = 62514822795111680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5590832809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876021 + ... + 882379.

It is an arithmetic number, because the mean of its divisors is an integer number (109029480).

Almost surely, 2^5590832800 is an apocalyptic number.

5590832800 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 5590832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7850122560).

5590832800 is an abundant number, since it is smaller than the sum of its proper divisors (10109412320).

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

5590832800 is a wasteful number, since it uses less digits than its factorization.

5590832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 5590832800 is about 74771.8717165753. The cubic root of 5590832800 is about 1774.8384750193.

The spelling of 5590832800 in words is "five billion, five hundred ninety million, eight hundred thirty-two thousand, eight hundred".