25260226710642 has 256 divisors, whose sum is σ = 71388363571200. Its totient is φ = 6430749511680.

The previous prime is 25260226710617. The next prime is 25260226710767. The reversal of 25260226710642 is 24601762206252.

It is a happy number.

25260226710642 is a `hidden beast` number, since 2 + 5 + 2 + 602 + 26 + 7 + 10 + 6 + 4 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44721378 + ... + 45282690.

It is an arithmetic number, because the mean of its divisors is an integer number (278860795200).

Almost surely, 2^{25260226710642} is an apocalyptic number.

25260226710642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25260226710642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35694181785600).

25260226710642 is an abundant number, since it is smaller than the sum of its proper divisors (46128136860558).

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

25260226710642 is a wasteful number, since it uses less digits than its factorization.

25260226710642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561558 (or 561552 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 25260226710642 its reverse (24601762206252), we get a palindrome (49861988916894).

The spelling of 25260226710642 in words is "twenty-five trillion, two hundred sixty billion, two hundred twenty-six million, seven hundred ten thousand, six hundred forty-two".