248120570880 has 1584 divisors, whose sum is σ = 1100852363520. Its totient is φ = 51204980736.

The previous prime is 248120570851. The next prime is 248120570897. The reversal of 248120570880 is 88075021842.

It is a happy number.

248120570880 is a `hidden beast` number, since 2 + 481 + 20 + 5 + 70 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2318883787 + ... + 2318883893.

Almost surely, 2^248120570880 is an apocalyptic number.

248120570880 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 248120570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550426181760).

248120570880 is an abundant number, since it is smaller than the sum of its proper divisors (852731792640).

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

248120570880 is a wasteful number, since it uses less digits than its factorization.

248120570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 248120570880 in words is "two hundred forty-eight billion, one hundred twenty million, five hundred seventy thousand, eight hundred eighty".