25951955915952 has 960 divisors, whose sum is σ = 83742237296640. Its totient is φ = 7496858603520.

The previous prime is 25951955915909. The next prime is 25951955915983.

25951955915952 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 1 + 9 + 559 + 15 + 9 + 52 = 666.

25951955915952 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25951955915952² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58582293043 + ... + 58582293485.

It is an arithmetic number, because the mean of its divisors is an integer number (87231497184).

Almost surely, 2^{25951955915952} is an apocalyptic number.

25951955915952 is a gapful number since it is divisible by the number (22) 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 25951955915952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41871118648320).

25951955915952 is an abundant number, since it is smaller than the sum of its proper divisors (57790281380688).

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

25951955915952 is a wasteful number, since it uses less digits than its factorization.

25951955915952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 664 counting only the distinct ones).

The product of its digits is 410062500, while the sum is 72.

The spelling of 25951955915952 in words is "twenty-five trillion, nine hundred fifty-one billion, nine hundred fifty-five million, nine hundred fifteen thousand, nine hundred fifty-two".