25465782144 has 128 divisors (see below), whose sum is σ = 75363540480. Its totient is φ = 7552655360.

The previous prime is 25465782143. The next prime is 25465782197. The reversal of 25465782144 is 44128756452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 25465782093 and 25465782102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25465782143) 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, 134392 + ... + 262664.

It is an arithmetic number, because the mean of its divisors is an integer number (588777660).

Almost surely, 2^25465782144 is an apocalyptic number.

25465782144 is a gapful number since it is divisible by the number (24) 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 25465782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37681770240).

25465782144 is an abundant number, since it is smaller than the sum of its proper divisors (49897758336).

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

25465782144 is a wasteful number, since it uses less digits than its factorization.

25465782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128348 (or 128336 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 25465782144 in words is "twenty-five billion, four hundred sixty-five million, seven hundred eighty-two thousand, one hundred forty-four".