25152686713152 has 224 divisors, whose sum is σ = 78986779084800. Its totient is φ = 7821205733376.

The previous prime is 25152686713127. The next prime is 25152686713213. The reversal of 25152686713152 is 25131768625152.

25152686713152 is a `hidden beast` number, since 2 + 5 + 1 + 5 + 268 + 67 + 1 + 315 + 2 = 666.

It is a super-2 number, since 2×25152686713152² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469152 + ... + 7108127.

Almost surely, 2^{25152686713152} 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 25152686713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39493389542400).

25152686713152 is an abundant number, since it is smaller than the sum of its proper divisors (53834092371648).

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

25152686713152 is a wasteful number, since it uses less digits than its factorization.

25152686713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577430 (or 7577414 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 25152686713152 in words is "twenty-five trillion, one hundred fifty-two billion, six hundred eighty-six million, seven hundred thirteen thousand, one hundred fifty-two".