25740530500608 has 3168 divisors, whose sum is σ = 104116170203136. Its totient is φ = 6270566400000.

The previous prime is 25740530500459. The next prime is 25740530500627. The reversal of 25740530500608 is 80600503504752.

25740530500608 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 0 + 5 + 30 + 5 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170467089333 + ... + 170467089483.

Almost surely, 2^{25740530500608} is an apocalyptic number.

25740530500608 is a gapful number since it is divisible by the number (28) 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 25740530500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52058085101568).

25740530500608 is an abundant number, since it is smaller than the sum of its proper divisors (78375639702528).

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

25740530500608 is a wasteful number, since it uses less digits than its factorization.

25740530500608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 25740530500608 in words is "twenty-five trillion, seven hundred forty billion, five hundred thirty million, five hundred thousand, six hundred eight".