25468437312 has 252 divisors, whose sum is σ = 76548179136. Its totient is φ = 8406478080.

The previous prime is 25468437301. The next prime is 25468437317. The reversal of 25468437312 is 21373486452.

25468437312 is a `hidden beast` number, since 254 + 6 + 84 + 3 + 7 + 312 = 666.

Its product of digits (967680) is a multiple of the sum of its prime factors (630).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25468437317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55007193 + ... + 55007655.

Almost surely, 2^25468437312 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 25468437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38274089568).

25468437312 is an abundant number, since it is smaller than the sum of its proper divisors (51079741824).

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

25468437312 is an frugal number, since it uses more digits than its factorization.

25468437312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 599 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 25468437312 in words is "twenty-five billion, four hundred sixty-eight million, four hundred thirty-seven thousand, three hundred twelve".