5787872133120 has 2016 divisors, whose sum is σ = 26381824035840. Its totient is φ = 1182290411520.

The previous prime is 5787872133091. The next prime is 5787872133139. The reversal of 5787872133120 is 213312787875.

5787872133120 is a `hidden beast` number, since 578 + 7 + 8 + 7 + 2 + 13 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98099527651 + ... + 98099527709.

It is an arithmetic number, because the mean of its divisors is an integer number (13086222240).

Almost surely, 2^{5787872133120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5787872133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190912017920).

5787872133120 is an abundant number, since it is smaller than the sum of its proper divisors (20593951902720).

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

5787872133120 is an frugal number, since it uses more digits than its factorization.

5787872133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 5787872133120 in words is "five trillion, seven hundred eighty-seven billion, eight hundred seventy-two million, one hundred thirty-three thousand, one hundred twenty".