25952153380272 has 1440 divisors, whose sum is σ = 95012270825472. Its totient is φ = 6710156619264.

The previous prime is 25952153380261. The next prime is 25952153380277. The reversal of 25952153380272 is 27208335125952.

25952153380272 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 2 + 1 + 533 + 80 + 27 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25952153380277) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19856275843 + ... + 19856277149.

Almost surely, 2^{25952153380272} 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 25952153380272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47506135412736).

25952153380272 is an abundant number, since it is smaller than the sum of its proper divisors (69060117445200).

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

25952153380272 is a wasteful number, since it uses less digits than its factorization.

25952153380272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 25952153380272 in words is "twenty-five trillion, nine hundred fifty-two billion, one hundred fifty-three million, three hundred eighty thousand, two hundred seventy-two".