248760099661320 has 768 divisors, whose sum is σ = 948638500992000. Its totient is φ = 55977541337088.

The previous prime is 248760099661289. The next prime is 248760099661321. The reversal of 248760099661320 is 23166990067842.

248760099661320 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 6 + 0 + 0 + 9 + 9 + 6 + 613 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (248760099661321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4582287217 + ... + 4582341503.

It is an arithmetic number, because the mean of its divisors is an integer number (1235206381500).

Almost surely, 2^{248760099661320} is an apocalyptic number.

248760099661320 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 248760099661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474319250496000).

248760099661320 is an abundant number, since it is smaller than the sum of its proper divisors (699878401330680).

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

248760099661320 is a wasteful number, since it uses less digits than its factorization.

248760099661320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56142 (or 56135 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 248760099661320 in words is "two hundred forty-eight trillion, seven hundred sixty billion, ninety-nine million, six hundred sixty-one thousand, three hundred twenty".