5542058400 has 144 divisors (see below), whose sum is σ = 18108091008. Its totient is φ = 1472256000.

The previous prime is 5542058399. The next prime is 5542058419. The reversal of 5542058400 is 48502455.

It is a super-2 number, since 2×5542058400² = 61428822618021120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646140 + ... + 654660.

It is an arithmetic number, because the mean of its divisors is an integer number (125750632).

Almost surely, 2^5542058400 is an apocalyptic number.

5542058400 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 5542058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9054045504).

5542058400 is an abundant number, since it is smaller than the sum of its proper divisors (12566032608).

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

5542058400 is a wasteful number, since it uses less digits than its factorization.

5542058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 5542058400 is about 74445.0025186379. The cubic root of 5542058400 is about 1769.6621654055.

The spelling of 5542058400 in words is "five billion, five hundred forty-two million, fifty-eight thousand, four hundred".