22825920536640 has 2016 divisors, whose sum is σ = 94387092912000. Its totient is φ = 5183980978176.

The previous prime is 22825920536609. The next prime is 22825920536647. The reversal of 22825920536640 is 4663502952822.

22825920536640 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 592 + 0 + 5 + 3 + 6 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22825920536647) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22400314051 + ... + 22400315069.

It is an arithmetic number, because the mean of its divisors is an integer number (46818994500).

Almost surely, 2^{22825920536640} is an apocalyptic number.

22825920536640 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 22825920536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47193546456000).

22825920536640 is an abundant number, since it is smaller than the sum of its proper divisors (71561172375360).

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

22825920536640 is a wasteful number, since it uses less digits than its factorization.

22825920536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 22825920536640 in words is "twenty-two trillion, eight hundred twenty-five billion, nine hundred twenty million, five hundred thirty-six thousand, six hundred forty".