25279340544 has 448 divisors, whose sum is σ = 81249194880. Its totient is φ = 7835222016.

The previous prime is 25279340543. The next prime is 25279340557. The reversal of 25279340544 is 44504397252.

25279340544 is a `hidden beast` number, since 2 + 5 + 2 + 79 + 34 + 0 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25279340544.

It is not an unprimeable number, because it can be changed into a prime (25279340543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304570327 + ... + 304570409.

It is an arithmetic number, because the mean of its divisors is an integer number (181359810).

Almost surely, 2^25279340544 is an apocalyptic number.

25279340544 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 25279340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40624597440).

25279340544 is an abundant number, since it is smaller than the sum of its proper divisors (55969854336).

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

25279340544 is an frugal number, since it uses more digits than its factorization.

25279340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 25279340544 in words is "twenty-five billion, two hundred seventy-nine million, three hundred forty thousand, five hundred forty-four".