5652218880 has 1056 divisors, whose sum is σ = 25750932480. Its totient is φ = 1154580480.

The previous prime is 5652218861. The next prime is 5652218911. The reversal of 5652218880 is 888122565.

5652218880 is a `hidden beast` number, since 565 + 2 + 2 + 1 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95800291 + ... + 95800349.

Almost surely, 2^5652218880 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 5652218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

5652218880 is an abundant number, since it is smaller than the sum of its proper divisors (20098713600).

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

5652218880 is a wasteful number, since it uses less digits than its factorization.

5652218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5652218880 is about 75181.2402132340. The cubic root of 5652218880 is about 1781.3106199868.

The spelling of 5652218880 in words is "five billion, six hundred fifty-two million, two hundred eighteen thousand, eight hundred eighty".