245972712960 has 600 divisors, whose sum is σ = 954114412680. Its totient is φ = 60538503168.

The previous prime is 245972712913. The next prime is 245972712961. The reversal of 245972712960 is 69217279542.

245972712960 is a `hidden beast` number, since 2 + 4 + 597 + 27 + 1 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 245972712897 and 245972712906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245972712961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35040331 + ... + 35047349.

Almost surely, 2^245972712960 is an apocalyptic number.

245972712960 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 245972712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477057206340).

245972712960 is an abundant number, since it is smaller than the sum of its proper divisors (708141699720).

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

245972712960 is an equidigital number, since it uses as much as digits as its factorization.

245972712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 245972712960 in words is "two hundred forty-five billion, nine hundred seventy-two million, seven hundred twelve thousand, nine hundred sixty".