25542744724552 has 64 divisors (see below), whose sum is σ = 52956983338560. Its totient is φ = 11452886995200.

The previous prime is 25542744724547. The next prime is 25542744724559.

25542744724552 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25542744724559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091802 + ... + 7447222.

It is an arithmetic number, because the mean of its divisors is an integer number (827452864665).

Almost surely, 2^{25542744724552} is an apocalyptic number.

25542744724552 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 25542744724552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26478491669280).

25542744724552 is an abundant number, since it is smaller than the sum of its proper divisors (27414238614008).

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

25542744724552 is a wasteful number, since it uses less digits than its factorization.

25542744724552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356174 (or 5356170 counting only the distinct ones).

The product of its digits is 125440000, while the sum is 58.

The spelling of 25542744724552 in words is "twenty-five trillion, five hundred forty-two billion, seven hundred forty-four million, seven hundred twenty-four thousand, five hundred fifty-two".