56445911040 has 360 divisors, whose sum is σ = 187416754560. Its totient is φ = 14505738240.

The previous prime is 56445911029. The next prime is 56445911047. The reversal of 56445911040 is 4011954465.

It is a super-2 number, since 2×56445911040² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56445911040.

It is not an unprimeable number, because it can be changed into a prime (56445911047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236175241 + ... + 236175479.

It is an arithmetic number, because the mean of its divisors is an integer number (520602096).

Almost surely, 2^56445911040 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 56445911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93708377280).

56445911040 is an abundant number, since it is smaller than the sum of its proper divisors (130970843520).

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

56445911040 is an equidigital number, since it uses as much as digits as its factorization.

56445911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 56445911040 in words is "fifty-six billion, four hundred forty-five million, nine hundred eleven thousand, forty".