25845727165440 has 2816 divisors, whose sum is σ = 110434084454400. Its totient is φ = 5008426795008.

The previous prime is 25845727165429. The next prime is 25845727165463. The reversal of 25845727165440 is 4456172754852.

It is a super-2 number, since 2×25845727165440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 203509662657 + ... + 203509662783.

Almost surely, 2^{25845727165440} is an apocalyptic number.

25845727165440 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 25845727165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55217042227200).

25845727165440 is an abundant number, since it is smaller than the sum of its proper divisors (84588357288960).

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

25845727165440 is a wasteful number, since it uses less digits than its factorization.

25845727165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 60.

The spelling of 25845727165440 in words is "twenty-five trillion, eight hundred forty-five billion, seven hundred twenty-seven million, one hundred sixty-five thousand, four hundred forty".