25457855875452 has 576 divisors, whose sum is σ = 88951356748800. Its totient is φ = 5924510760960.

The previous prime is 25457855875423. The next prime is 25457855875471.

25457855875452 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 78 + 5 + 5 + 8 + 7 + 545 + 2 = 666.

25457855875452 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 558643324 + ... + 558688892.

It is an arithmetic number, because the mean of its divisors is an integer number (154429438800).

Almost surely, 2^{25457855875452} is an apocalyptic number.

25457855875452 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 25457855875452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44475678374400).

25457855875452 is an abundant number, since it is smaller than the sum of its proper divisors (63493500873348).

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

25457855875452 is a wasteful number, since it uses less digits than its factorization.

25457855875452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46066 (or 46061 counting only the distinct ones).

The product of its digits is 3136000000, while the sum is 72.

The spelling of 25457855875452 in words is "twenty-five trillion, four hundred fifty-seven billion, eight hundred fifty-five million, eight hundred seventy-five thousand, four hundred fifty-two".