245931650560 has 320 divisors, whose sum is σ = 637713648000. Its totient is φ = 90625277952.

The previous prime is 245931650551. The next prime is 245931650563. The reversal of 245931650560 is 65056139542.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 245931650560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245931650563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632214846 + ... + 632215234.

It is an arithmetic number, because the mean of its divisors is an integer number (1992855150).

Almost surely, 2^245931650560 is an apocalyptic number.

245931650560 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 245931650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318856824000).

245931650560 is an abundant number, since it is smaller than the sum of its proper divisors (391781997440).

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

245931650560 is a wasteful number, since it uses less digits than its factorization.

245931650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 245931650560 in words is "two hundred forty-five billion, nine hundred thirty-one million, six hundred fifty thousand, five hundred sixty".