5887268352000 has 1664 divisors, whose sum is σ = 25210812856320. Its totient is φ = 1327634841600.

The previous prime is 5887268351947. The next prime is 5887268352001. The reversal of 5887268352000 is 2538627885.

5887268352000 is a `hidden beast` number, since 58 + 8 + 7 + 2 + 68 + 3 + 520 + 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 not an unprimeable number, because it can be changed into a prime (5887268352001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8031743634 + ... + 8031744366.

It is an arithmetic number, because the mean of its divisors is an integer number (15150728880).

Almost surely, 2^{5887268352000} is an apocalyptic number.

5887268352000 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 5887268352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605406428160).

5887268352000 is an abundant number, since it is smaller than the sum of its proper divisors (19323544504320).

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

5887268352000 is an equidigital number, since it uses as much as digits as its factorization.

5887268352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5887268352000 in words is "five trillion, eight hundred eighty-seven billion, two hundred sixty-eight million, three hundred fifty-two thousand".