25251766848 has 756 divisors, whose sum is σ = 95745214656. Its totient is φ = 6466521600.

The previous prime is 25251766829. The next prime is 25251766871. The reversal of 25251766848 is 84866715252.

25251766848 is a `hidden beast` number, since 2 + 525 + 1 + 76 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a junction number, because it is equal to n+sod(n) for n = 25251766794 and 25251766803.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 355658653 + ... + 355658723.

Almost surely, 2^25251766848 is an apocalyptic number.

25251766848 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 25251766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47872607328).

25251766848 is an abundant number, since it is smaller than the sum of its proper divisors (70493447808).

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

25251766848 is an frugal number, since it uses more digits than its factorization.

25251766848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 25251766848 in words is "twenty-five billion, two hundred fifty-one million, seven hundred sixty-six thousand, eight hundred forty-eight".