25193742336 has 432 divisors, whose sum is σ = 87023087424. Its totient is φ = 7134511104.

The previous prime is 25193742319. The next prime is 25193742367. The reversal of 25193742336 is 63324739152.

25193742336 is a `hidden beast` number, since 2 + 5 + 193 + 7 + 423 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 25193742291 and 25193742300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222953416 + ... + 222953528.

It is an arithmetic number, because the mean of its divisors is an integer number (201442332).

Almost surely, 2^25193742336 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 25193742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43511543712).

25193742336 is an abundant number, since it is smaller than the sum of its proper divisors (61829345088).

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

25193742336 is an frugal number, since it uses more digits than its factorization.

25193742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 125 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 25193742336 in words is "twenty-five billion, one hundred ninety-three million, seven hundred forty-two thousand, three hundred thirty-six".