22106264544000 has 2592 divisors, whose sum is σ = 102114722848320. Its totient is φ = 4548870144000.

The previous prime is 22106264543999. The next prime is 22106264544037. The reversal of 22106264544000 is 44546260122.

22106264544000 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 6 + 2 + 645 + 4 + 4 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7521694531 + ... + 7521697469.

It is an arithmetic number, because the mean of its divisors is an integer number (39396112210).

Almost surely, 2^{22106264544000} is an apocalyptic number.

22106264544000 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 22106264544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51057361424160).

22106264544000 is an abundant number, since it is smaller than the sum of its proper divisors (80008458304320).

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

22106264544000 is a wasteful number, since it uses less digits than its factorization.

22106264544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22106264544000 in words is "twenty-two trillion, one hundred six billion, two hundred sixty-four million, five hundred forty-four thousand".