25971493968 has 420 divisors, whose sum is σ = 89363295264. Its totient is φ = 7159363200.

The previous prime is 25971493957. The next prime is 25971493987. The reversal of 25971493968 is 86939417952.

25971493968 is a `hidden beast` number, since 2 + 59 + 7 + 1 + 493 + 96 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78463563 + ... + 78463893.

Almost surely, 2^25971493968 is an apocalyptic number.

25971493968 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 25971493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44681647632).

25971493968 is an abundant number, since it is smaller than the sum of its proper divisors (63391801296).

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

25971493968 is an equidigital number, since it uses as much as digits as its factorization.

25971493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 374 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 25971493968 in words is "twenty-five billion, nine hundred seventy-one million, four hundred ninety-three thousand, nine hundred sixty-eight".