25691326393920 has 2688 divisors, whose sum is σ = 104100431855616. Its totient is φ = 5328863232000.

The previous prime is 25691326393867. The next prime is 25691326393921. The reversal of 25691326393920 is 2939362319652.

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

It is not an unprimeable number, because it can be changed into a prime (25691326393921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99966250432 + ... + 99966250688.

It is an arithmetic number, because the mean of its divisors is an integer number (38727839232).

Almost surely, 2^{25691326393920} is an apocalyptic number.

25691326393920 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 25691326393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52050215927808).

25691326393920 is an abundant number, since it is smaller than the sum of its proper divisors (78409105461696).

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

25691326393920 is a wasteful number, since it uses less digits than its factorization.

25691326393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 60.

The spelling of 25691326393920 in words is "twenty-five trillion, six hundred ninety-one billion, three hundred twenty-six million, three hundred ninety-three thousand, nine hundred twenty".