25286940274320 has 480 divisors, whose sum is σ = 93901532774400. Its totient is φ = 6065757536256.

The previous prime is 25286940274319. The next prime is 25286940274327. The reversal of 25286940274320 is 2347204968252.

25286940274320 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 6 + 9 + 40 + 274 + 320 = 666.

It is not an unprimeable number, because it can be changed into a prime (25286940274327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360028966 + ... + 360099194.

It is an arithmetic number, because the mean of its divisors is an integer number (195628193280).

Almost surely, 2^{25286940274320} is an apocalyptic number.

25286940274320 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 25286940274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46950766387200).

25286940274320 is an abundant number, since it is smaller than the sum of its proper divisors (68614592500080).

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

25286940274320 is a wasteful number, since it uses less digits than its factorization.

25286940274320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71567 (or 71558 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 25286940274320 in words is "twenty-five trillion, two hundred eighty-six billion, nine hundred forty million, two hundred seventy-four thousand, three hundred twenty".