25967013639840 has 768 divisors, whose sum is σ = 111941701401600. Its totient is φ = 5474650374144.

The previous prime is 25967013639811. The next prime is 25967013639857. The reversal of 25967013639840 is 4893631076952.

25967013639840 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 70 + 136 + 398 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 539729706 + ... + 539777814.

It is an arithmetic number, because the mean of its divisors is an integer number (145757423700).

It is a 2-persistent number, because it is pandigital, and so is 2⋅25967013639840 = 51934027279680, but 3⋅25967013639840 = 77901040919520 is not.

Almost surely, 2^{25967013639840} is an apocalyptic number.

25967013639840 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 25967013639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55970850700800).

25967013639840 is an abundant number, since it is smaller than the sum of its proper divisors (85974687761760).

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

25967013639840 is a wasteful number, since it uses less digits than its factorization.

25967013639840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49526 (or 49512 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 25967013639840 in words is "twenty-five trillion, nine hundred sixty-seven billion, thirteen million, six hundred thirty-nine thousand, eight hundred forty".