25201121738688 has 504 divisors, whose sum is σ = 88479062614800. Its totient is φ = 6819143417856.

The previous prime is 25201121738659. The next prime is 25201121738701. The reversal of 25201121738688 is 88683712110252.

It is a happy number.

25201121738688 is a `hidden beast` number, since 2 + 520 + 1 + 1 + 2 + 1 + 7 + 38 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×25201121738688² (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 71 ways as a sum of consecutive naturals, for example, 2299996506 + ... + 2300007462.

Almost surely, 2^{25201121738688} is an apocalyptic number.

25201121738688 is a gapful number since it is divisible by the number (28) 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 25201121738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44239531307400).

25201121738688 is an abundant number, since it is smaller than the sum of its proper divisors (63277940876112).

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

25201121738688 is a wasteful number, since it uses less digits than its factorization.

25201121738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15297 (or 15277 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 25201121738688 in words is "twenty-five trillion, two hundred one billion, one hundred twenty-one million, seven hundred thirty-eight thousand, six hundred eighty-eight".