5948080128000 has 1216 divisors, whose sum is σ = 22534442461440. Its totient is φ = 1567044403200.

The previous prime is 5948080127999. The next prime is 5948080128037. The reversal of 5948080128000 is 8210808495.

It is a happy number.

5948080128000 is a `hidden beast` number, since 5 + 9 + 480 + 80 + 12 + 80 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71663615959 + ... + 71663616041.

Almost surely, 2^{5948080128000} is an apocalyptic number.

5948080128000 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 5948080128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267221230720).

5948080128000 is an abundant number, since it is smaller than the sum of its proper divisors (16586362333440).

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

5948080128000 is an frugal number, since it uses more digits than its factorization.

5948080128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 5948080128000 in words is "five trillion, nine hundred forty-eight billion, eighty million, one hundred twenty-eight thousand".