5887678829760 has 1120 divisors, whose sum is σ = 25877363162112. Its totient is φ = 1237381816320.

The previous prime is 5887678829737. The next prime is 5887678829789. The reversal of 5887678829760 is 679288767885.

5887678829760 is a `hidden beast` number, since 588 + 7 + 6 + 7 + 8 + 8 + 29 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 5887678829760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 620338615 + ... + 620348105.

Almost surely, 2^{5887678829760} 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 5887678829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938681581056).

5887678829760 is an abundant number, since it is smaller than the sum of its proper divisors (19989684332352).

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

5887678829760 is a wasteful number, since it uses less digits than its factorization.

5887678829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 4551966720, while the sum is 81.

The spelling of 5887678829760 in words is "five trillion, eight hundred eighty-seven billion, six hundred seventy-eight million, eight hundred twenty-nine thousand, seven hundred sixty".