25640340000 has 480 divisors, whose sum is σ = 93610085184. Its totient is φ = 6090240000.

The previous prime is 25640339983. The next prime is 25640340029. The reversal of 25640340000 is 4304652.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34979634 + ... + 34980366.

Almost surely, 2^25640340000 is an apocalyptic number.

25640340000 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 25640340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46805042592).

25640340000 is an abundant number, since it is smaller than the sum of its proper divisors (67969745184).

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

25640340000 is a wasteful number, since it uses less digits than its factorization.

25640340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 25640340000 its reverse (4304652), we get a palindrome (25644644652).

The spelling of 25640340000 in words is "twenty-five billion, six hundred forty million, three hundred forty thousand".