245271972960 has 576 divisors, whose sum is σ = 992393700480. Its totient is φ = 53973319680.

The previous prime is 245271972893. The next prime is 245271973003. The reversal of 245271972960 is 69279172542.

245271972960 is a `hidden beast` number, since 2 + 4 + 527 + 1 + 97 + 29 + 6 + 0 = 666.

245271972960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245271972897 and 245271972906.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 123065724 + ... + 123067716.

It is an arithmetic number, because the mean of its divisors is an integer number (1722905730).

Almost surely, 2^245271972960 is an apocalyptic number.

245271972960 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 245271972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496196850240).

245271972960 is an abundant number, since it is smaller than the sum of its proper divisors (747121727520).

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

245271972960 is a wasteful number, since it uses less digits than its factorization.

245271972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).

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

The spelling of 245271972960 in words is "two hundred forty-five billion, two hundred seventy-one million, nine hundred seventy-two thousand, nine hundred sixty".