5876491991040 has 1920 divisors, whose sum is σ = 24487759296000. Its totient is φ = 1332943257600.

The previous prime is 5876491991033. The next prime is 5876491991047. The reversal of 5876491991040 is 401991946785.

5876491991040 is a `hidden beast` number, since 5 + 8 + 7 + 6 + 491 + 99 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5876491991033) and next prime (5876491991047).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5876491991047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18895472485 + ... + 18895472795.

It is an arithmetic number, because the mean of its divisors is an integer number (12754041300).

Almost surely, 2^{5876491991040} 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 5876491991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243879648000).

5876491991040 is an abundant number, since it is smaller than the sum of its proper divisors (18611267304960).

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

5876491991040 is a wasteful number, since it uses less digits than its factorization.

5876491991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 5876491991040 in words is "five trillion, eight hundred seventy-six billion, four hundred ninety-one million, nine hundred ninety-one thousand, forty".