25349127552 has 640 divisors, whose sum is σ = 93838694400. Its totient is φ = 6628884480.

The previous prime is 25349127481. The next prime is 25349127569. The reversal of 25349127552 is 25572194352.

25349127552 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 91 + 2 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25349127498 and 25349127507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42746968 + ... + 42747560.

It is an arithmetic number, because the mean of its divisors is an integer number (146622960).

Almost surely, 2^25349127552 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 25349127552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46919347200).

25349127552 is an abundant number, since it is smaller than the sum of its proper divisors (68489566848).

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

25349127552 is a wasteful number, since it uses less digits than its factorization.

25349127552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 655 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 25349127552 in words is "twenty-five billion, three hundred forty-nine million, one hundred twenty-seven thousand, five hundred fifty-two".