5877940668300 has 216 divisors, whose sum is σ = 19024094241152. Its totient is φ = 1516434048000.

The previous prime is 5877940668167. The next prime is 5877940668323. The reversal of 5877940668300 is 38660497785.

5877940668300 is a `hidden beast` number, since 5 + 87 + 79 + 406 + 6 + 83 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 98764152 + ... + 98823648.

Almost surely, 2^{5877940668300} is an apocalyptic number.

5877940668300 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 5877940668300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512047120576).

5877940668300 is an abundant number, since it is smaller than the sum of its proper divisors (13146153572852).

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

5877940668300 is a wasteful number, since it uses less digits than its factorization.

5877940668300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63089 (or 63079 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 5877940668300 in words is "five trillion, eight hundred seventy-seven billion, nine hundred forty million, six hundred sixty-eight thousand, three hundred".