5542514400 has 288 divisors, whose sum is σ = 18466818048. Its totient is φ = 1443635200.

The previous prime is 5542514389. The next prime is 5542514449. The reversal of 5542514400 is 44152455.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 29018305 + ... + 29018495.

It is an arithmetic number, because the mean of its divisors is an integer number (64120896).

Almost surely, 2^5542514400 is an apocalyptic number.

5542514400 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 5542514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233409024).

5542514400 is an abundant number, since it is smaller than the sum of its proper divisors (12924303648).

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

5542514400 is a wasteful number, since it uses less digits than its factorization.

5542514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 5542514400 is about 74448.0651192494. The cubic root of 5542514400 is about 1769.7106999485.

Adding to 5542514400 its reverse (44152455), we get a palindrome (5586666855).

The spelling of 5542514400 in words is "five billion, five hundred forty-two million, five hundred fourteen thousand, four hundred".