25938934560 has 1440 divisors, whose sum is σ = 122636384640. Its totient is φ = 5036359680.

The previous prime is 25938934517. The next prime is 25938934561. The reversal of 25938934560 is 6543983952.

25938934560 is a `hidden beast` number, since 2 + 593 + 8 + 9 + 3 + 45 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×25938934560² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 25938934497 and 25938934506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25938934561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 186610971 + ... + 186611109.

It is an arithmetic number, because the mean of its divisors is an integer number (85164156).

Almost surely, 2^25938934560 is an apocalyptic number.

25938934560 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 25938934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61318192320).

25938934560 is an abundant number, since it is smaller than the sum of its proper divisors (96697450080).

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

25938934560 is a wasteful number, since it uses less digits than its factorization.

25938934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 25938934560 in words is "twenty-five billion, nine hundred thirty-eight million, nine hundred thirty-four thousand, five hundred sixty".