25257466080 has 864 divisors, whose sum is σ = 113592181248. Its totient is φ = 4964198400.

The previous prime is 25257466067. The next prime is 25257466093. The reversal of 25257466080 is 8066475252.

25257466080 is a `hidden beast` number, since 2 + 525 + 7 + 46 + 6 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (25257466067) and next prime (25257466093).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40027365 + ... + 40027995.

It is an arithmetic number, because the mean of its divisors is an integer number (131472432).

Almost surely, 2^25257466080 is an apocalyptic number.

25257466080 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 25257466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56796090624).

25257466080 is an abundant number, since it is smaller than the sum of its proper divisors (88334715168).

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

25257466080 is a wasteful number, since it uses less digits than its factorization.

25257466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25257466080 in words is "twenty-five billion, two hundred fifty-seven million, four hundred sixty-six thousand, eighty".