25934152237056 has 640 divisors, whose sum is σ = 89675787168000. Its totient is φ = 7315549323264.

The previous prime is 25934152236973. The next prime is 25934152237073. The reversal of 25934152237056 is 65073225143952.

25934152237056 is a `hidden beast` number, since 2 + 5 + 9 + 3 + 41 + 522 + 3 + 70 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25934152236993 and 25934152237011.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1467768190 + ... + 1467785858.

It is an arithmetic number, because the mean of its divisors is an integer number (140118417450).

Almost surely, 2^{25934152237056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25934152237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44837893584000).

25934152237056 is an abundant number, since it is smaller than the sum of its proper divisors (63741634930944).

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

25934152237056 is an frugal number, since it uses more digits than its factorization.

25934152237056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797 (or 17760 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 25934152237056 in words is "twenty-five trillion, nine hundred thirty-four billion, one hundred fifty-two million, two hundred thirty-seven thousand, fifty-six".