22101815554560 has 640 divisors, whose sum is σ = 94445140838400. Its totient is φ = 4785955061760.

The previous prime is 22101815554549. The next prime is 22101815554591. The reversal of 22101815554560 is 6545551810122.

22101815554560 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 1 + 81 + 5 + 5 + 5 + 4 + 560 = 666.

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

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

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, 7990855 + ... + 10395065.

It is an arithmetic number, because the mean of its divisors is an integer number (147570532560).

Almost surely, 2^{22101815554560} is an apocalyptic number.

22101815554560 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 22101815554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47222570419200).

22101815554560 is an abundant number, since it is smaller than the sum of its proper divisors (72343325283840).

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

22101815554560 is a wasteful number, since it uses less digits than its factorization.

22101815554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404269 (or 2404247 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 22101815554560 in words is "twenty-two trillion, one hundred one billion, eight hundred fifteen million, five hundred fifty-four thousand, five hundred sixty".