245199778560 has 720 divisors, whose sum is σ = 963732591360. Its totient is φ = 59032903680.

The previous prime is 245199778559. The next prime is 245199778567. The reversal of 245199778560 is 65877991542.

245199778560 is a `hidden beast` number, since 24 + 519 + 97 + 7 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (245199778567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185897581 + ... + 185898899.

It is an arithmetic number, because the mean of its divisors is an integer number (1338517488).

Almost surely, 2^245199778560 is an apocalyptic number.

245199778560 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 245199778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481866295680).

245199778560 is an abundant number, since it is smaller than the sum of its proper divisors (718532812800).

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

245199778560 is a wasteful number, since it uses less digits than its factorization.

245199778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 245199778560 in words is "two hundred forty-five billion, one hundred ninety-nine million, seven hundred seventy-eight thousand, five hundred sixty".