25732836864 has 640 divisors, whose sum is σ = 91267968000. Its totient is φ = 7242504192.

The previous prime is 25732836853. The next prime is 25732836907. The reversal of 25732836864 is 46863823752.

25732836864 is a `hidden beast` number, since 2 + 573 + 2 + 8 + 3 + 6 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25732836864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384072159 + ... + 384072225.

It is an arithmetic number, because the mean of its divisors is an integer number (142606200).

Almost surely, 2^25732836864 is an apocalyptic number.

25732836864 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 25732836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45633984000).

25732836864 is an abundant number, since it is smaller than the sum of its proper divisors (65535131136).

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

25732836864 is an frugal number, since it uses more digits than its factorization.

25732836864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 79 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 25732836864 in words is "twenty-five billion, seven hundred thirty-two million, eight hundred thirty-six thousand, eight hundred sixty-four".