25739340189696 has 468 divisors, whose sum is σ = 90262834763712. Its totient is φ = 6921483190272.

The previous prime is 25739340189649. The next prime is 25739340189793. The reversal of 25739340189696 is 69698104393752.

25739340189696 is a `hidden beast` number, since 2 + 5 + 73 + 93 + 401 + 8 + 9 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 74403301 + ... + 74748443.

It is a 2-persistent number, because it is pandigital, and so is 2⋅25739340189696 = 51478680379392, but 3⋅25739340189696 = 77218020569088 is not.

Almost surely, 2^{25739340189696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25739340189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45131417381856).

25739340189696 is an abundant number, since it is smaller than the sum of its proper divisors (64523494574016).

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

25739340189696 is a wasteful number, since it uses less digits than its factorization.

25739340189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345214 (or 345172 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 25739340189696 in words is "twenty-five trillion, seven hundred thirty-nine billion, three hundred forty million, one hundred eighty-nine thousand, six hundred ninety-six".