25009786368 has 640 divisors, whose sum is σ = 93619722240. Its totient is φ = 6423183360.

The previous prime is 25009786367. The next prime is 25009786369. The reversal of 25009786368 is 86368790052.

It is a happy number.

25009786368 is a `hidden beast` number, since 2 + 500 + 9 + 78 + 6 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (25009786367) and next prime (25009786369).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25009786367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37835958 + ... + 37836618.

It is an arithmetic number, because the mean of its divisors is an integer number (146280816).

Almost surely, 2^25009786368 is an apocalyptic number.

25009786368 is a gapful number since it is divisible by the number (28) 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 25009786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46809861120).

25009786368 is an abundant number, since it is smaller than the sum of its proper divisors (68609935872).

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

25009786368 is a wasteful number, since it uses less digits than its factorization.

25009786368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 25009786368 in words is "twenty-five billion, nine million, seven hundred eighty-six thousand, three hundred sixty-eight".