25946205401088 has 1248 divisors, whose sum is σ = 93290148157440. Its totient is φ = 6782244618240.

The previous prime is 25946205401003. The next prime is 25946205401089. The reversal of 25946205401088 is 88010450264952.

25946205401088 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 6 + 2 + 0 + 540 + 10 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (25946205401089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28481015353 + ... + 28481016263.

It is an arithmetic number, because the mean of its divisors is an integer number (74751721280).

Almost surely, 2^{25946205401088} is an apocalyptic number.

25946205401088 is a gapful number since it is divisible by the number (28) 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 25946205401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46645074078720).

25946205401088 is an abundant number, since it is smaller than the sum of its proper divisors (67343942756352).

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

25946205401088 is a wasteful number, since it uses less digits than its factorization.

25946205401088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 25946205401088 in words is "twenty-five trillion, nine hundred forty-six billion, two hundred five million, four hundred one thousand, eighty-eight".