25734240000 has 1440 divisors, whose sum is σ = 116470717440. Its totient is φ = 5474304000.

The previous prime is 25734239989. The next prime is 25734240001. The reversal of 25734240000 is 4243752.

25734240000 is a `hidden beast` number, since 257 + 3 + 4 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×25734240000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25734240001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 695519982 + ... + 695520018.

Almost surely, 2^25734240000 is an apocalyptic number.

25734240000 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 25734240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58235358720).

25734240000 is an abundant number, since it is smaller than the sum of its proper divisors (90736477440).

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

25734240000 is an equidigital number, since it uses as much as digits as its factorization.

25734240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 25734240000 its reverse (4243752), we get a palindrome (25738483752).

The spelling of 25734240000 in words is "twenty-five billion, seven hundred thirty-four million, two hundred forty thousand".