25718736240 has 120 divisors (see below), whose sum is σ = 86553567360. Its totient is φ = 6843919872.

The previous prime is 25718736233. The next prime is 25718736257. The reversal of 25718736240 is 4263781752.

25718736240 is a `hidden beast` number, since 2 + 5 + 7 + 18 + 7 + 3 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×25718736240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 307594 + ... + 382166.

It is an arithmetic number, because the mean of its divisors is an integer number (721279728).

Almost surely, 2^25718736240 is an apocalyptic number.

25718736240 is a gapful number since it is divisible by the number (20) 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 25718736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43276783680).

25718736240 is an abundant number, since it is smaller than the sum of its proper divisors (60834831120).

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

25718736240 is a wasteful number, since it uses less digits than its factorization.

25718736240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75071 (or 75062 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 25718736240 in words is "twenty-five billion, seven hundred eighteen million, seven hundred thirty-six thousand, two hundred forty".