25235489664 has 384 divisors, whose sum is σ = 92477998080. Its totient is φ = 6414151680.

The previous prime is 25235489663. The next prime is 25235489677. The reversal of 25235489664 is 46698453252.

25235489664 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 548 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) 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 25235489664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25235489663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4166062 + ... + 4172114.

It is an arithmetic number, because the mean of its divisors is an integer number (240828120).

Almost surely, 2^25235489664 is an apocalyptic number.

25235489664 is a gapful number since it is divisible by the number (24) 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 25235489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46238999040).

25235489664 is an abundant number, since it is smaller than the sum of its proper divisors (67242508416).

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

25235489664 is a wasteful number, since it uses less digits than its factorization.

25235489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6123 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 25235489664 in words is "twenty-five billion, two hundred thirty-five million, four hundred eighty-nine thousand, six hundred sixty-four".