248807108839680 has 432 divisors, whose sum is σ = 872230610684160. Its totient is φ = 65472100761600.

The previous prime is 248807108839669. The next prime is 248807108839717. The reversal of 248807108839680 is 86938801708842.

248807108839680 is a `hidden beast` number, since 2 + 4 + 8 + 80 + 7 + 1 + 0 + 88 + 396 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 248807108839599 and 248807108839608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648079400 + ... + 1648230360.

Almost surely, 2^{248807108839680} is an apocalyptic number.

248807108839680 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 248807108839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436115305342080).

248807108839680 is an abundant number, since it is smaller than the sum of its proper divisors (623423501844480).

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

248807108839680 is a wasteful number, since it uses less digits than its factorization.

248807108839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152878 (or 152861 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 248807108839680 in words is "two hundred forty-eight trillion, eight hundred seven billion, one hundred eight million, eight hundred thirty-nine thousand, six hundred eighty".