8248780800000 has 2520 divisors, whose sum is σ = 35252475775272. Its totient is φ = 1911029760000.

The previous prime is 8248780799947. The next prime is 8248780800011. The reversal of 8248780800000 is 80878428.

It can be written as a sum of positive squares in 12 ways, for example, as 8248016388096 + 764411904 = 2871936^2 + 27648^2 .

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 167 ways as a sum of consecutive naturals, for example, 485222399992 + ... + 485222400008.

Almost surely, 2^{8248780800000} is an apocalyptic number.

8248780800000 is a gapful number since it is divisible by the number (80) 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 8248780800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626237887636).

8248780800000 is an abundant number, since it is smaller than the sum of its proper divisors (27003694975272).

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

8248780800000 is an frugal number, since it uses more digits than its factorization.

8248780800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 8248780800000 in words is "eight trillion, two hundred forty-eight billion, seven hundred eighty million, eight hundred thousand".