25961040000 has 1280 divisors, whose sum is σ = 117007545600. Its totient is φ = 5529600000.

The previous prime is 25961039989. The next prime is 25961040019. The reversal of 25961040000 is 4016952.

25961040000 is a `hidden beast` number, since 2 + 5 + 9 + 610 + 40 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 257039950 + ... + 257040050.

It is an arithmetic number, because the mean of its divisors is an integer number (91412145).

Almost surely, 2^25961040000 is an apocalyptic number.

25961040000 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 25961040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58503772800).

25961040000 is an abundant number, since it is smaller than the sum of its proper divisors (91046505600).

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

25961040000 is a wasteful number, since it uses less digits than its factorization.

25961040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 25961040000 its reverse (4016952), we get a palindrome (25965056952).

The spelling of 25961040000 in words is "twenty-five billion, nine hundred sixty-one million, forty thousand".