5516132400 has 300 divisors, whose sum is σ = 20128706224. Its totient is φ = 1446336000.

The previous prime is 5516132387. The next prime is 5516132417. The reversal of 5516132400 is 42316155.

5516132400 is a `hidden beast` number, since 5 + 5 + 1 + 613 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1975005 + ... + 1977795.

Almost surely, 2^5516132400 is an apocalyptic number.

5516132400 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 5516132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064353112).

5516132400 is an abundant number, since it is smaller than the sum of its proper divisors (14612573824).

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

5516132400 is a wasteful number, since it uses less digits than its factorization.

5516132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5516132400 is about 74270.6698502175. The cubic root of 5516132400 is about 1766.8983312357.

Adding to 5516132400 its reverse (42316155), we get a palindrome (5558448555).

The spelling of 5516132400 in words is "five billion, five hundred sixteen million, one hundred thirty-two thousand, four hundred".