22244405807520 has 1152 divisors, whose sum is σ = 87532468418304. Its totient is φ = 5299094421504.

The previous prime is 22244405807497. The next prime is 22244405807549. The reversal of 22244405807520 is 2570850444222.

22244405807520 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 4 + 40 + 5 + 80 + 7 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3609343959 + ... + 3609350121.

It is an arithmetic number, because the mean of its divisors is an integer number (75983045502).

Almost surely, 2^{22244405807520} is an apocalyptic number.

22244405807520 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 22244405807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43766234209152).

22244405807520 is an abundant number, since it is smaller than the sum of its proper divisors (65288062610784).

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

22244405807520 is a wasteful number, since it uses less digits than its factorization.

22244405807520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 22244405807520 in words is "twenty-two trillion, two hundred forty-four billion, four hundred five million, eight hundred seven thousand, five hundred twenty".