25976966967952 has 320 divisors, whose sum is σ = 69402477957120. Its totient is φ = 9093056256000.

The previous prime is 25976966967947. The next prime is 25976966967961.

25976966967952 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95303253 + ... + 95575435.

It is an arithmetic number, because the mean of its divisors is an integer number (216882743616).

Almost surely, 2^{25976966967952} is an apocalyptic number.

25976966967952 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 25976966967952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34701238978560).

25976966967952 is an abundant number, since it is smaller than the sum of its proper divisors (43425510989168).

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

25976966967952 is a wasteful number, since it uses less digits than its factorization.

25976966967952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272382 (or 272376 counting only the distinct ones).

The product of its digits is 41664974400, while the sum is 88.

The spelling of 25976966967952 in words is "twenty-five trillion, nine hundred seventy-six billion, nine hundred sixty-six million, nine hundred sixty-seven thousand, nine hundred fifty-two".