25260851070144 has 672 divisors, whose sum is σ = 80508798982080. Its totient is φ = 7761169612800.

The previous prime is 25260851070137. The next prime is 25260851070173. The reversal of 25260851070144 is 44107015806252.

25260851070144 is a `hidden beast` number, since 2 + 5 + 2 + 60 + 8 + 510 + 70 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×25260851070144² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25260851070144.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11074462284 + ... + 11074464564.

It is an arithmetic number, because the mean of its divisors is an integer number (119804760390).

Almost surely, 2^{25260851070144} is an apocalyptic number.

25260851070144 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 25260851070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40254399491040).

25260851070144 is an abundant number, since it is smaller than the sum of its proper divisors (55247947911936).

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

25260851070144 is a wasteful number, since it uses less digits than its factorization.

25260851070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

Adding to 25260851070144 its reverse (44107015806252), we get a palindrome (69367866876396).

The spelling of 25260851070144 in words is "twenty-five trillion, two hundred sixty billion, eight hundred fifty-one million, seventy thousand, one hundred forty-four".