248799418560 has 1456 divisors, whose sum is σ = 1166278429440. Its totient is φ = 48977602560.

The previous prime is 248799418531. The next prime is 248799418583. The reversal of 248799418560 is 65814997842.

248799418560 is a `hidden beast` number, since 2 + 4 + 87 + 99 + 418 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 207 ways as a sum of consecutive naturals, for example, 13094706231 + ... + 13094706249.

Almost surely, 2^248799418560 is an apocalyptic number.

248799418560 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 248799418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583139214720).

248799418560 is an abundant number, since it is smaller than the sum of its proper divisors (917479010880).

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

248799418560 is an frugal number, since it uses more digits than its factorization.

248799418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 248799418560 in words is "two hundred forty-eight billion, seven hundred ninety-nine million, four hundred eighteen thousand, five hundred sixty".