5652245934720 has 576 divisors, whose sum is σ = 24518389633920. Its totient is φ = 1174491648000.

The previous prime is 5652245934703. The next prime is 5652245934761. The reversal of 5652245934720 is 274395422565.

5652245934720 is a `hidden beast` number, since 5 + 6 + 5 + 2 + 2 + 4 + 593 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×5652245934720⁴ (a number of 52 digits) contains 4444 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4299445 + ... + 5457995.

It is an arithmetic number, because the mean of its divisors is an integer number (42566648670).

Almost surely, 2^{5652245934720} 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 5652245934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259194816960).

5652245934720 is an abundant number, since it is smaller than the sum of its proper divisors (18866143699200).

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

5652245934720 is a wasteful number, since it uses less digits than its factorization.

5652245934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158605 (or 1158579 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 5652245934720 in words is "five trillion, six hundred fifty-two billion, two hundred forty-five million, nine hundred thirty-four thousand, seven hundred twenty".