25387084714068 has 864 divisors, whose sum is σ = 90264085696512. Its totient is φ = 5829426662400.

The previous prime is 25387084714067. The next prime is 25387084714133. The reversal of 25387084714068 is 86041748078352.

It is a happy number.

25387084714068 is a `hidden beast` number, since 2 + 5 + 3 + 87 + 0 + 84 + 71 + 406 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 25387084713996 and 25387084714014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25387084714067) by changing a digit.

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, 943639105 + ... + 943666007.

It is an arithmetic number, because the mean of its divisors is an integer number (104472321408).

Almost surely, 2^{25387084714068} is an apocalyptic number.

25387084714068 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 25387084714068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45132042848256).

25387084714068 is an abundant number, since it is smaller than the sum of its proper divisors (64877000982444).

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

25387084714068 is a wasteful number, since it uses less digits than its factorization.

25387084714068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27033 (or 27009 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 25387084714068 in words is "twenty-five trillion, three hundred eighty-seven billion, eighty-four million, seven hundred fourteen thousand, sixty-eight".