25272059266080 has 1920 divisors, whose sum is σ = 104098926919680. Its totient is φ = 5716039311360.

The previous prime is 25272059266079. The next prime is 25272059266087. The reversal of 25272059266080 is 8066295027252.

25272059266080 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 2 + 0 + 5 + 9 + 26 + 608 + 0 = 666.

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 (25272059266087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16127669457 + ... + 16127671023.

It is an arithmetic number, because the mean of its divisors is an integer number (54218191104).

Almost surely, 2^{25272059266080} is an apocalyptic number.

25272059266080 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 25272059266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52049463459840).

25272059266080 is an abundant number, since it is smaller than the sum of its proper divisors (78826867653600).

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

25272059266080 is a wasteful number, since it uses less digits than its factorization.

25272059266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 25272059266080 in words is "twenty-five trillion, two hundred seventy-two billion, fifty-nine million, two hundred sixty-six thousand, eighty".