5867419957560 has 384 divisors, whose sum is σ = 23280327417600. Its totient is φ = 1309935110400.

The previous prime is 5867419957501. The next prime is 5867419957657. The reversal of 5867419957560 is 657599147685.

5867419957560 is a `hidden beast` number, since 5 + 8 + 6 + 7 + 4 + 1 + 9 + 9 + 57 + 560 = 666.

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

It is a congruent number.

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, 986335 + ... + 3564785.

It is an arithmetic number, because the mean of its divisors is an integer number (60625852650).

Almost surely, 2^{5867419957560} 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 5867419957560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640163708800).

5867419957560 is an abundant number, since it is smaller than the sum of its proper divisors (17412907460040).

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

5867419957560 is a wasteful number, since it uses less digits than its factorization.

5867419957560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578528 (or 2578511 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 5867419957560 in words is "five trillion, eight hundred sixty-seven billion, four hundred nineteen million, nine hundred fifty-seven thousand, five hundred sixty".