22828716706320 has 840 divisors, whose sum is σ = 92903896638360. Its totient is φ = 5199240130560.

The previous prime is 22828716706309. The next prime is 22828716706339. The reversal of 22828716706320 is 2360761782822.

22828716706320 is a `hidden beast` number, since 2 + 2 + 82 + 87 + 167 + 0 + 6 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2397195730944 + 20431520975376 = 1548288^2 + 4520124^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 802993866 + ... + 803022294.

Almost surely, 2^{22828716706320} is an apocalyptic number.

22828716706320 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 22828716706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46451948319180).

22828716706320 is an abundant number, since it is smaller than the sum of its proper divisors (70075179932040).

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

22828716706320 is a wasteful number, since it uses less digits than its factorization.

22828716706320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28755 (or 28727 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 22828716706320 in words is "twenty-two trillion, eight hundred twenty-eight billion, seven hundred sixteen million, seven hundred six thousand, three hundred twenty".