5990776735680 has 896 divisors, whose sum is σ = 24561866649600. Its totient is φ = 1359261388800.

The previous prime is 5990776735673. The next prime is 5990776735703. The reversal of 5990776735680 is 865376770995.

5990776735680 is a `hidden beast` number, since 59 + 9 + 0 + 7 + 7 + 6 + 7 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5990776735599 and 5990776735608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149858095 + ... + 149898065.

It is an arithmetic number, because the mean of its divisors is an integer number (27412797600).

Almost surely, 2^{5990776735680} 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 5990776735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280933324800).

5990776735680 is an abundant number, since it is smaller than the sum of its proper divisors (18571089913920).

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

5990776735680 is a wasteful number, since it uses less digits than its factorization.

5990776735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40110 (or 40094 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 5990776735680 in words is "five trillion, nine hundred ninety billion, seven hundred seventy-six million, seven hundred thirty-five thousand, six hundred eighty".