25629286144 has 216 divisors, whose sum is σ = 65250538416. Its totient is φ = 9934848000.

The previous prime is 25629286141. The next prime is 25629286159. The reversal of 25629286144 is 44168292652.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25629286141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38773174 + ... + 38773834.

It is an arithmetic number, because the mean of its divisors is an integer number (302085826).

Almost surely, 2^25629286144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25629286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32625269208).

25629286144 is an abundant number, since it is smaller than the sum of its proper divisors (39621252272).

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

25629286144 is a wasteful number, since it uses less digits than its factorization.

25629286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 962 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The spelling of 25629286144 in words is "twenty-five billion, six hundred twenty-nine million, two hundred eighty-six thousand, one hundred forty-four".