25922335965264 has 320 divisors, whose sum is σ = 80356186240000. Its totient is φ = 7974490922496.

The previous prime is 25922335965263. The next prime is 25922335965293. The reversal of 25922335965264 is 46256953322952.

25922335965264 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 2 + 33 + 596 + 5 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×25922335965264² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25922335965263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133668882 + ... + 133862670.

It is an arithmetic number, because the mean of its divisors is an integer number (251113082000).

Almost surely, 2^{25922335965264} is an apocalyptic number.

25922335965264 is a gapful number since it is divisible by the number (24) 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 25922335965264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40178093120000).

25922335965264 is an abundant number, since it is smaller than the sum of its proper divisors (54433850274736).

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

25922335965264 is a wasteful number, since it uses less digits than its factorization.

25922335965264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194247 (or 194235 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 63.

The spelling of 25922335965264 in words is "twenty-five trillion, nine hundred twenty-two billion, three hundred thirty-five million, nine hundred sixty-five thousand, two hundred sixty-four".