22715681345280 has 2592 divisors, whose sum is σ = 103963581775872. Its totient is φ = 4473747210240.

The previous prime is 22715681345263. The next prime is 22715681345297. The reversal of 22715681345280 is 8254318651722.

It is a happy number.

22715681345280 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 5 + 6 + 81 + 34 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22715681345263) and next prime (22715681345297).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28501481842 + ... + 28501482638.

Almost surely, 2^{22715681345280} is an apocalyptic number.

22715681345280 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 22715681345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51981790887936).

22715681345280 is an abundant number, since it is smaller than the sum of its proper divisors (81247900430592).

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

22715681345280 is a wasteful number, since it uses less digits than its factorization.

22715681345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 22715681345280 in words is "twenty-two trillion, seven hundred fifteen billion, six hundred eighty-one million, three hundred forty-five thousand, two hundred eighty".