25743240544 has 144 divisors (see below), whose sum is σ = 62074198368. Its totient is φ = 10458083328.

The previous prime is 25743240529. The next prime is 25743240577. The reversal of 25743240544 is 44504234752.

It is a super-3 number, since 3×25743240544³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25743240497 and 25743240506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4072074 + ... + 4078390.

It is an arithmetic number, because the mean of its divisors is an integer number (431070822).

Almost surely, 2^25743240544 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 25743240544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31037099184).

25743240544 is an abundant number, since it is smaller than the sum of its proper divisors (36330957824).

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

25743240544 is a wasteful number, since it uses less digits than its factorization.

25743240544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 40.

The spelling of 25743240544 in words is "twenty-five billion, seven hundred forty-three million, two hundred forty thousand, five hundred forty-four".