248199776280 has 768 divisors, whose sum is σ = 934053120000. Its totient is φ = 56760238080.

The previous prime is 248199776233. The next prime is 248199776309. The reversal of 248199776280 is 82677991842.

248199776280 is a `hidden beast` number, since 2 + 481 + 9 + 9 + 7 + 76 + 2 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 376630591 + ... + 376631249.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215000).

Almost surely, 2^248199776280 is an apocalyptic number.

248199776280 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 248199776280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467026560000).

248199776280 is an abundant number, since it is smaller than the sum of its proper divisors (685853343720).

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

248199776280 is a wasteful number, since it uses less digits than its factorization.

248199776280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 248199776280 in words is "two hundred forty-eight billion, one hundred ninety-nine million, seven hundred seventy-six thousand, two hundred eighty".