22501222450560 has 960 divisors, whose sum is σ = 94659338664000. Its totient is φ = 5077988278272.

The previous prime is 22501222450517. The next prime is 22501222450579. The reversal of 22501222450560 is 6505422210522.

22501222450560 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 1 + 22 + 24 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 200616576 + ... + 200728704.

It is an arithmetic number, because the mean of its divisors is an integer number (98603477775).

Almost surely, 2^{22501222450560} is an apocalyptic number.

22501222450560 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 22501222450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47329669332000).

22501222450560 is an abundant number, since it is smaller than the sum of its proper divisors (72158116213440).

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

22501222450560 is a wasteful number, since it uses less digits than its factorization.

22501222450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112253 (or 112225 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 22501222450560 in words is "twenty-two trillion, five hundred one billion, two hundred twenty-two million, four hundred fifty thousand, five hundred sixty".