245868595015680 has 3328 divisors, whose sum is σ = 1098422064230400. Its totient is φ = 51432690548736.

The previous prime is 245868595015643. The next prime is 245868595015697. The reversal of 245868595015680 is 86510595868542.

245868595015680 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 6 + 8 + 5 + 9 + 50 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 245868595015599 and 245868595015608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 729580400472 + ... + 729580400808.

It is an arithmetic number, because the mean of its divisors is an integer number (330054706800).

Almost surely, 2^{245868595015680} is an apocalyptic number.

245868595015680 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 245868595015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549211032115200).

245868595015680 is an abundant number, since it is smaller than the sum of its proper divisors (852553469214720).

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

245868595015680 is an equidigital number, since it uses as much as digits as its factorization.

245868595015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 829440000, while the sum is 72.

The spelling of 245868595015680 in words is "two hundred forty-five trillion, eight hundred sixty-eight billion, five hundred ninety-five million, fifteen thousand, six hundred eighty".