25452517902480 has 1200 divisors, whose sum is σ = 97407513712080. Its totient is φ = 6138057719808.

The previous prime is 25452517902437. The next prime is 25452517902481. The reversal of 25452517902480 is 8420971525452.

25452517902480 is a `hidden beast` number, since 2 + 5 + 4 + 525 + 1 + 7 + 90 + 24 + 8 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3331223626896 + 22121294275584 = 1825164^2 + 4703328^2 .

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 (25452517902481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23809651386 + ... + 23809652454.

Almost surely, 2^{25452517902480} is an apocalyptic number.

25452517902480 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 25452517902480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48703756856040).

25452517902480 is an abundant number, since it is smaller than the sum of its proper divisors (71954995809600).

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

25452517902480 is a wasteful number, since it uses less digits than its factorization.

25452517902480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 25452517902480 in words is "twenty-five trillion, four hundred fifty-two billion, five hundred seventeen million, nine hundred two thousand, four hundred eighty".