248027068080 has 720 divisors, whose sum is σ = 955828823040. Its totient is φ = 57522769920.

The previous prime is 248027068073. The next prime is 248027068097. The reversal of 248027068080 is 80860720842.

It is a happy number.

248027068080 is a `hidden beast` number, since 248 + 0 + 270 + 68 + 0 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 320862574 + ... + 320863346.

It is an arithmetic number, because the mean of its divisors is an integer number (1327540032).

Almost surely, 2^248027068080 is an apocalyptic number.

248027068080 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 248027068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477914411520).

248027068080 is an abundant number, since it is smaller than the sum of its proper divisors (707801754960).

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

248027068080 is a wasteful number, since it uses less digits than its factorization.

248027068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 248027068080 in words is "two hundred forty-eight billion, twenty-seven million, sixty-eight thousand, eighty".