245530978560 has 432 divisors, whose sum is σ = 981807765120. Its totient is φ = 55489167360.

The previous prime is 245530978559. The next prime is 245530978579. The reversal of 245530978560 is 65879035542.

245530978560 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 3 + 0 + 9 + 78 + 560 = 666.

245530978560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245530978560² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245530978497 and 245530978506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7159855 + ... + 7194065.

It is an arithmetic number, because the mean of its divisors is an integer number (2272703160).

Almost surely, 2^245530978560 is an apocalyptic number.

245530978560 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 245530978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490903882560).

245530978560 is an abundant number, since it is smaller than the sum of its proper divisors (736276786560).

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

245530978560 is a wasteful number, since it uses less digits than its factorization.

245530978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34334 (or 34317 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 245530978560 in words is "two hundred forty-five billion, five hundred thirty million, nine hundred seventy-eight thousand, five hundred sixty".