5526349200 has 240 divisors, whose sum is σ = 19761235200. Its totient is φ = 1466841600.

The previous prime is 5526349187. The next prime is 5526349217. The reversal of 5526349200 is 29436255.

5526349200 is a `hidden beast` number, since 552 + 63 + 49 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2580130 + ... + 2582270.

It is an arithmetic number, because the mean of its divisors is an integer number (82338480).

Almost surely, 2^5526349200 is an apocalyptic number.

5526349200 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 5526349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880617600).

5526349200 is an abundant number, since it is smaller than the sum of its proper divisors (14234886000).

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

5526349200 is a wasteful number, since it uses less digits than its factorization.

5526349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5526349200 is about 74339.4188839273. The cubic root of 5526349200 is about 1767.9885222053.

The spelling of 5526349200 in words is "five billion, five hundred twenty-six million, three hundred forty-nine thousand, two hundred".