22005641544120 has 1536 divisors, whose sum is σ = 82225837774080. Its totient is φ = 5068050923520.

The previous prime is 22005641544079. The next prime is 22005641544137. The reversal of 22005641544120 is 2144514650022.

22005641544120 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 5 + 641 + 5 + 4 + 4 + 1 + 2 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 160625120692 + ... + 160625120828.

Almost surely, 2^{22005641544120} is an apocalyptic number.

22005641544120 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 22005641544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41112918887040).

22005641544120 is an abundant number, since it is smaller than the sum of its proper divisors (60220196229960).

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

22005641544120 is a wasteful number, since it uses less digits than its factorization.

22005641544120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 22005641544120 in words is "twenty-two trillion, five billion, six hundred forty-one million, five hundred forty-four thousand, one hundred twenty".