5542144000 has 96 divisors (see below), whose sum is σ = 13830453000. Its totient is φ = 2216755200.

The previous prime is 5542143961. The next prime is 5542144039. The reversal of 5542144000 is 4412455.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5542143961) and next prime (5542144039).

It can be written as a sum of positive squares in 4 ways, for example, as 1309860864 + 4232283136 = 36192^2 + 65056^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245176 + ... + 266824.

Almost surely, 2^5542144000 is an apocalyptic number.

5542144000 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 5542144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915226500).

5542144000 is an abundant number, since it is smaller than the sum of its proper divisors (8288309000).

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

5542144000 is an equidigital number, since it uses as much as digits as its factorization.

5542144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21686 (or 21656 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5542144000 is about 74445.5774374811. The cubic root of 5542144000 is about 1769.6712764788.

Adding to 5542144000 its reverse (4412455), we get a palindrome (5546556455).

The spelling of 5542144000 in words is "five billion, five hundred forty-two million, one hundred forty-four thousand".