5789076480000 has 2240 divisors, whose sum is σ = 24173569981440. Its totient is φ = 1373552640000.

The previous prime is 5789076479999. The next prime is 5789076480199. The reversal of 5789076480000 is 846709875.

5789076480000 is a `hidden beast` number, since 5 + 7 + 8 + 90 + 76 + 480 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123171839977 + ... + 123171840023.

Almost surely, 2^{5789076480000} is an apocalyptic number.

5789076480000 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 5789076480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086784990720).

5789076480000 is an abundant number, since it is smaller than the sum of its proper divisors (18384493501440).

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

5789076480000 is an frugal number, since it uses more digits than its factorization.

5789076480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 5789076480000 in words is "five trillion, seven hundred eighty-nine billion, seventy-six million, four hundred eighty thousand".