5526889200 has 360 divisors, whose sum is σ = 22734461568. Its totient is φ = 1263133440.

The previous prime is 5526889169. The next prime is 5526889211. The reversal of 5526889200 is 29886255.

5526889200 is a `hidden beast` number, since 552 + 6 + 8 + 8 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 676339 + ... + 684461.

Almost surely, 2^5526889200 is an apocalyptic number.

5526889200 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 5526889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11367230784).

5526889200 is an abundant number, since it is smaller than the sum of its proper divisors (17207572368).

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

5526889200 is a wasteful number, since it uses less digits than its factorization.

5526889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5526889200 is about 74343.0507848582. The cubic root of 5526889200 is about 1768.0461058935.

The spelling of 5526889200 in words is "five billion, five hundred twenty-six million, eight hundred eighty-nine thousand, two hundred".