25743319680 has 256 divisors, whose sum is σ = 88610941440. Its totient is φ = 6319472640.

The previous prime is 25743319669. The next prime is 25743319699. The reversal of 25743319680 is 8691334752.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10756564 + ... + 10758956.

It is an arithmetic number, because the mean of its divisors is an integer number (346136490).

It is a 1-persistent number, because it is pandigital, but 2⋅25743319680 = 51486639360 is not.

Almost surely, 2^25743319680 is an apocalyptic number.

25743319680 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 25743319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44305470720).

25743319680 is an abundant number, since it is smaller than the sum of its proper divisors (62867621760).

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

25743319680 is a wasteful number, since it uses less digits than its factorization.

25743319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 25743319680 in words is "twenty-five billion, seven hundred forty-three million, three hundred nineteen thousand, six hundred eighty".