25985430240 has 384 divisors, whose sum is σ = 108057535488. Its totient is φ = 5081825280.

The previous prime is 25985430217. The next prime is 25985430283. The reversal of 25985430240 is 4203458952.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 25985430192 and 25985430201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607642 + ... + 648998.

It is an arithmetic number, because the mean of its divisors is an integer number (281399832).

Almost surely, 2^25985430240 is an apocalyptic number.

25985430240 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 25985430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54028767744).

25985430240 is an abundant number, since it is smaller than the sum of its proper divisors (82072105248).

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

25985430240 is a wasteful number, since it uses less digits than its factorization.

25985430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41410 (or 41402 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 25985430240 in words is "twenty-five billion, nine hundred eighty-five million, four hundred thirty thousand, two hundred forty".