22381241057280 has 720 divisors, whose sum is σ = 90557208967680. Its totient is φ = 5006813036544.

The previous prime is 22381241057257. The next prime is 22381241057291. The reversal of 22381241057280 is 8275014218322.

22381241057280 is a `hidden beast` number, since 2 + 2 + 3 + 81 + 241 + 0 + 57 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 242518986 + ... + 242611254.

It is an arithmetic number, because the mean of its divisors is an integer number (125773901344).

Almost surely, 2^{22381241057280} is an apocalyptic number.

22381241057280 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 22381241057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45278604483840).

22381241057280 is an abundant number, since it is smaller than the sum of its proper divisors (68175967910400).

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

22381241057280 is an equidigital number, since it uses as much as digits as its factorization.

22381241057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92362 (or 92333 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22381241057280 in words is "twenty-two trillion, three hundred eighty-one billion, two hundred forty-one million, fifty-seven thousand, two hundred eighty".