22661131708800 has 768 divisors, whose sum is σ = 90646273267200. Its totient is φ = 5494850887680.

The previous prime is 22661131708753. The next prime is 22661131708819. The reversal of 22661131708800 is 880713116622.

22661131708800 is a `hidden beast` number, since 2 + 26 + 611 + 3 + 1 + 7 + 0 + 8 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75103837 + ... + 75404963.

It is an arithmetic number, because the mean of its divisors is an integer number (118029001650).

Almost surely, 2^{22661131708800} is an apocalyptic number.

22661131708800 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 22661131708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45323136633600).

22661131708800 is an abundant number, since it is smaller than the sum of its proper divisors (67985141558400).

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

22661131708800 is a wasteful number, since it uses less digits than its factorization.

22661131708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301240 (or 301217 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22661131708800 in words is "twenty-two trillion, six hundred sixty-one billion, one hundred thirty-one million, seven hundred eight thousand, eight hundred".