5529252960 has 576 divisors, whose sum is σ = 24047622144. Its totient is φ = 1123430400.

The previous prime is 5529252959. The next prime is 5529252961. The reversal of 5529252960 is 692529255.

5529252960 is a `hidden beast` number, since 552 + 9 + 2 + 5 + 2 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5529252959) and next prime (5529252961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5529252961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5210830 + ... + 5211890.

It is an arithmetic number, because the mean of its divisors is an integer number (41749344).

Almost surely, 2^5529252960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5529252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12023811072).

5529252960 is an abundant number, since it is smaller than the sum of its proper divisors (18518369184).

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

5529252960 is a wasteful number, since it uses less digits than its factorization.

5529252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5529252960 is about 74358.9467381027. The cubic root of 5529252960 is about 1768.2981247571.

The spelling of 5529252960 in words is "five billion, five hundred twenty-nine million, two hundred fifty-two thousand, nine hundred sixty".