25731435072 has 336 divisors, whose sum is σ = 81308448000. Its totient is φ = 7158767616.

The previous prime is 25731435061. The next prime is 25731435089. The reversal of 25731435072 is 27053413752.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 25731435072.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66147454 + ... + 66147842.

Almost surely, 2^25731435072 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 25731435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40654224000).

25731435072 is an abundant number, since it is smaller than the sum of its proper divisors (55577012928).

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

25731435072 is a wasteful number, since it uses less digits than its factorization.

25731435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 25731435072 in words is "twenty-five billion, seven hundred thirty-one million, four hundred thirty-five thousand, seventy-two".