25272148366080 has 1296 divisors, whose sum is σ = 115072002549504. Its totient is φ = 5251320668160.

The previous prime is 25272148366051. The next prime is 25272148366093. The reversal of 25272148366080 is 8066384127252.

25272148366080 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 21 + 4 + 8 + 3 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 167575189 + ... + 167725931.

It is an arithmetic number, because the mean of its divisors is an integer number (88790125424).

Almost surely, 2^{25272148366080} is an apocalyptic number.

25272148366080 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 25272148366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57536001274752).

25272148366080 is an abundant number, since it is smaller than the sum of its proper divisors (89799854183424).

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

25272148366080 is a wasteful number, since it uses less digits than its factorization.

25272148366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150804 (or 150771 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 25272148366080 in words is "twenty-five trillion, two hundred seventy-two billion, one hundred forty-eight million, three hundred sixty-six thousand, eighty".