25265229264 has 320 divisors, whose sum is σ = 81894758400. Its totient is φ = 7391001600.

The previous prime is 25265229247. The next prime is 25265229281. The reversal of 25265229264 is 46292256252.

It is a happy number.

25265229264 is a `hidden beast` number, since 252 + 6 + 52 + 292 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (25265229247) and next prime (25265229281).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20067067 + ... + 20068325.

It is an arithmetic number, because the mean of its divisors is an integer number (255921120).

Almost surely, 2^25265229264 is an apocalyptic number.

25265229264 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 25265229264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947379200).

25265229264 is an abundant number, since it is smaller than the sum of its proper divisors (56629529136).

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

25265229264 is a wasteful number, since it uses less digits than its factorization.

25265229264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1419 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 25265229264 in words is "twenty-five billion, two hundred sixty-five million, two hundred twenty-nine thousand, two hundred sixty-four".