56952207090240 has 672 divisors, whose sum is σ = 228303564394752. Its totient is φ = 11774119526400.

The previous prime is 56952207090197. The next prime is 56952207090299. The reversal of 56952207090240 is 4209070225965.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160006870 + ... + 160362410.

It is an arithmetic number, because the mean of its divisors is an integer number (339737447016).

Almost surely, 2^{56952207090240} 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 56952207090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114151782197376).

56952207090240 is an abundant number, since it is smaller than the sum of its proper divisors (171351357304512).

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

56952207090240 is a wasteful number, since it uses less digits than its factorization.

56952207090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355787 (or 355766 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 56952207090240 in words is "fifty-six trillion, nine hundred fifty-two billion, two hundred seven million, ninety thousand, two hundred forty".