25740330000 has 600 divisors, whose sum is σ = 104484604224. Its totient is φ = 5343360000.

The previous prime is 25740329987. The next prime is 25740330041. The reversal of 25740330000 is 3304752.

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25409494 + ... + 25410506.

Almost surely, 2^25740330000 is an apocalyptic number.

25740330000 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 25740330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52242302112).

25740330000 is an abundant number, since it is smaller than the sum of its proper divisors (78744274224).

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

25740330000 is a wasteful number, since it uses less digits than its factorization.

25740330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

Adding to 25740330000 its reverse (3304752), we get a palindrome (25743634752).

The spelling of 25740330000 in words is "twenty-five billion, seven hundred forty million, three hundred thirty thousand".