25272895440 has 360 divisors, whose sum is σ = 86780561760. Its totient is φ = 6081414144.

The previous prime is 25272895433. The next prime is 25272895463. The reversal of 25272895440 is 4459827252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25272895440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141189271 + ... + 141189449.

It is an arithmetic number, because the mean of its divisors is an integer number (241057116).

Almost surely, 2^25272895440 is an apocalyptic number.

25272895440 is a gapful number since it is divisible by the number (20) 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 25272895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43390280880).

25272895440 is an abundant number, since it is smaller than the sum of its proper divisors (61507666320).

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

25272895440 is a wasteful number, since it uses less digits than its factorization.

25272895440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 25272895440 in words is "twenty-five billion, two hundred seventy-two million, eight hundred ninety-five thousand, four hundred forty".