25940191680 has 672 divisors, whose sum is σ = 101396865024. Its totient is φ = 6273552384.

The previous prime is 25940191661. The next prime is 25940191709. The reversal of 25940191680 is 8619104952.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 67728769 + ... + 67729151.

It is an arithmetic number, because the mean of its divisors is an integer number (150888192).

Almost surely, 2^25940191680 is an apocalyptic number.

25940191680 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 25940191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50698432512).

25940191680 is an abundant number, since it is smaller than the sum of its proper divisors (75456673344).

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

25940191680 is a wasteful number, since it uses less digits than its factorization.

25940191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 25940191680 in words is "twenty-five billion, nine hundred forty million, one hundred ninety-one thousand, six hundred eighty".