25025745968000 has 1024 divisors, whose sum is σ = 70213622169600. Its totient is φ = 8825241600000.

The previous prime is 25025745967987. The next prime is 25025745968023. The reversal of 25025745968000 is 86954752052.

It is a happy number.

It is a super-2 number, since 2×25025745968000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 66030991811 + ... + 66030992189.

It is an arithmetic number, because the mean of its divisors is an integer number (68567990400).

Almost surely, 2^{25025745968000} is an apocalyptic number.

25025745968000 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 25025745968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35106811084800).

25025745968000 is an abundant number, since it is smaller than the sum of its proper divisors (45187876201600).

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

25025745968000 is a wasteful number, since it uses less digits than its factorization.

25025745968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 53.

The spelling of 25025745968000 in words is "twenty-five trillion, twenty-five billion, seven hundred forty-five million, nine hundred sixty-eight thousand".