1248988168080 has 640 divisors, whose sum is σ = 4777054963200. Its totient is φ = 298497540096.

The previous prime is 1248988168073. The next prime is 1248988168093. The reversal of 1248988168080 is 808618898421.

1248988168080 is a `hidden beast` number, since 12 + 489 + 8 + 8 + 1 + 68 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1248988167999 and 1248988168017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77728207 + ... + 77744273.

It is an arithmetic number, because the mean of its divisors is an integer number (7464148380).

Almost surely, 2^{1248988168080} is an apocalyptic number.

1248988168080 is a gapful number since it is divisible by the number (10) 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 1248988168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388527481600).

1248988168080 is an abundant number, since it is smaller than the sum of its proper divisors (3528066795120).

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

1248988168080 is a wasteful number, since it uses less digits than its factorization.

1248988168080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16208 (or 16196 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 63.

The spelling of 1248988168080 in words is "one trillion, two hundred forty-eight billion, nine hundred eighty-eight million, one hundred sixty-eight thousand, eighty".