25827067772640 has 288 divisors, whose sum is σ = 90769095668160. Its totient is φ = 6682406141952.

The previous prime is 25827067772629. The next prime is 25827067772657. The reversal of 25827067772640 is 4627776072852.

25827067772640 is a `hidden beast` number, since 2 + 582 + 7 + 0 + 6 + 7 + 7 + 7 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18452392 + ... + 19802648.

It is an arithmetic number, because the mean of its divisors is an integer number (315170471070).

Almost surely, 2^{25827067772640} is an apocalyptic number.

25827067772640 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 25827067772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45384547834080).

25827067772640 is an abundant number, since it is smaller than the sum of its proper divisors (64942027895520).

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

25827067772640 is a wasteful number, since it uses less digits than its factorization.

25827067772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350674 (or 1350663 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 25827067772640 in words is "twenty-five trillion, eight hundred twenty-seven billion, sixty-seven million, seven hundred seventy-two thousand, six hundred forty".