25506234270720 has 2816 divisors, whose sum is σ = 111186489600000. Its totient is φ = 5604381425664.

The previous prime is 25506234270701. The next prime is 25506234270731. The reversal of 25506234270720 is 2707243260552.

25506234270720 is a `hidden beast` number, since 2 + 5 + 506 + 2 + 3 + 4 + 2 + 70 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111380935566 + ... + 111380935794.

Almost surely, 2^{25506234270720} is an apocalyptic number.

25506234270720 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 25506234270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55593244800000).

25506234270720 is an abundant number, since it is smaller than the sum of its proper divisors (85680255329280).

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

25506234270720 is an frugal number, since it uses more digits than its factorization.

25506234270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 25506234270720 in words is "twenty-five trillion, five hundred six billion, two hundred thirty-four million, two hundred seventy thousand, seven hundred twenty".