5542279200 has 540 divisors, whose sum is σ = 21119292810. Its totient is φ = 1414195200.

The previous prime is 5542279199. The next prime is 5542279217. The reversal of 5542279200 is 29722455.

It is a happy number.

5542279200 is a `hidden beast` number, since 5 + 542 + 27 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3239431056 + 2302848144 = 56916^2 + 47988^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 62272756 + ... + 62272844.

Almost surely, 2^5542279200 is an apocalyptic number.

5542279200 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 5542279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559646405).

5542279200 is an abundant number, since it is smaller than the sum of its proper divisors (15577013610).

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

5542279200 is a wasteful number, since it uses less digits than its factorization.

5542279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5542279200 is about 74446.4854778249. The cubic root of 5542279200 is about 1769.6856666746.

The spelling of 5542279200 in words is "five billion, five hundred forty-two million, two hundred seventy-nine thousand, two hundred".