5348782080000 has 1280 divisors, whose sum is σ = 21005435484000. Its totient is φ = 1340080128000.

The previous prime is 5348782079899. The next prime is 5348782080001. The reversal of 5348782080000 is 802878435.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348782080001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9400319716 + ... + 9400320284.

Almost surely, 2^{5348782080000} is an apocalyptic number.

5348782080000 is a gapful number since it is divisible by the number (50) 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 5348782080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502717742000).

5348782080000 is an abundant number, since it is smaller than the sum of its proper divisors (15656653404000).

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

5348782080000 is an frugal number, since it uses more digits than its factorization.

5348782080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5348782080000 in words is "five trillion, three hundred forty-eight billion, seven hundred eighty-two million, eighty thousand".