25740956640 has 384 divisors, whose sum is σ = 101290549248. Its totient is φ = 5358551040.

The previous prime is 25740956617. The next prime is 25740956641. The reversal of 25740956640 is 4665904752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25740956640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25740956641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1763452 + ... + 1777988.

It is an arithmetic number, because the mean of its divisors is an integer number (263777472).

Almost surely, 2^25740956640 is an apocalyptic number.

25740956640 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 25740956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50645274624).

25740956640 is an abundant number, since it is smaller than the sum of its proper divisors (75549592608).

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

25740956640 is a wasteful number, since it uses less digits than its factorization.

25740956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14610 (or 14602 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 25740956640 in words is "twenty-five billion, seven hundred forty million, nine hundred fifty-six thousand, six hundred forty".