25252352227872 has 480 divisors, whose sum is σ = 97465233761280. Its totient is φ = 6213838302720.

The previous prime is 25252352227831. The next prime is 25252352227873. The reversal of 25252352227872 is 27872225325252.

25252352227872 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 23 + 522 + 27 + 8 + 72 = 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 (25252352227873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 462493 + ... + 7121699.

It is an arithmetic number, because the mean of its divisors is an integer number (203052570336).

Almost surely, 2^{25252352227872} is an apocalyptic number.

25252352227872 is a gapful number since it is divisible by the number (22) 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 25252352227872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48732616880640).

25252352227872 is an abundant number, since it is smaller than the sum of its proper divisors (72212881533408).

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

25252352227872 is a wasteful number, since it uses less digits than its factorization.

25252352227872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659266 (or 6659249 counting only the distinct ones).

The product of its digits is 18816000, while the sum is 54.

The spelling of 25252352227872 in words is "twenty-five trillion, two hundred fifty-two billion, three hundred fifty-two million, two hundred twenty-seven thousand, eight hundred seventy-two".