25667828736 has 264 divisors, whose sum is σ = 75794678400. Its totient is φ = 7716741120.

The previous prime is 25667828717. The next prime is 25667828749. The reversal of 25667828736 is 63782876652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25667828736.

It is a congruent number.

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, 73970515 + ... + 73970861.

Almost surely, 2^25667828736 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 25667828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37897339200).

25667828736 is an abundant number, since it is smaller than the sum of its proper divisors (50126849664).

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

25667828736 is a wasteful number, since it uses less digits than its factorization.

25667828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 562 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The spelling of 25667828736 in words is "twenty-five billion, six hundred sixty-seven million, eight hundred twenty-eight thousand, seven hundred thirty-six".