245590115680 has 384 divisors, whose sum is σ = 727764307200. Its totient is φ = 76250087424.

The previous prime is 245590115671. The next prime is 245590115713. The reversal of 245590115680 is 86511095542.

245590115680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 245590115680.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 243399016 + ... + 243400024.

It is an arithmetic number, because the mean of its divisors is an integer number (1895219550).

Almost surely, 2^245590115680 is an apocalyptic number.

245590115680 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 245590115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363882153600).

245590115680 is an abundant number, since it is smaller than the sum of its proper divisors (482174191520).

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

245590115680 is a wasteful number, since it uses less digits than its factorization.

245590115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 245590115680 in words is "two hundred forty-five billion, five hundred ninety million, one hundred fifteen thousand, six hundred eighty".