25727560848080 has 1280 divisors, whose sum is σ = 82780877684736. Its totient is φ = 7204741447680.

The previous prime is 25727560847983. The next prime is 25727560848169. The reversal of 25727560848080 is 8084806572752.

It is a Harshad number since it is a multiple of its sum of digits (62).

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 255 ways as a sum of consecutive naturals, for example, 45697265879 + ... + 45697266441.

Almost surely, 2^{25727560848080} is an apocalyptic number.

25727560848080 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 25727560848080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41390438842368).

25727560848080 is an abundant number, since it is smaller than the sum of its proper divisors (57053316836656).

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

25727560848080 is a wasteful number, since it uses less digits than its factorization.

25727560848080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 62.

The spelling of 25727560848080 in words is "twenty-five trillion, seven hundred twenty-seven billion, five hundred sixty million, eight hundred forty-eight thousand, eighty".