20445224378880 has 640 divisors, whose sum is σ = 76373965324800. Its totient is φ = 4663911383040.

The previous prime is 20445224378879. The next prime is 20445224378903. The reversal of 20445224378880 is 8887342254402.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 20445224378880.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1372431592 + ... + 1372446488.

It is an arithmetic number, because the mean of its divisors is an integer number (119334320820).

Almost surely, 2^{20445224378880} is an apocalyptic number.

20445224378880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20445224378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38186982662400).

20445224378880 is an abundant number, since it is smaller than the sum of its proper divisors (55928740945920).

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

20445224378880 is an equidigital number, since it uses as much as digits as its factorization.

20445224378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15465 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 57.

The spelling of 20445224378880 in words is "twenty trillion, four hundred forty-five billion, two hundred twenty-four million, three hundred seventy-eight thousand, eight hundred eighty".