5812131386880 has 1920 divisors, whose sum is σ = 26022332464128. Its totient is φ = 1210541801472.

The previous prime is 5812131386857. The next prime is 5812131386891. The reversal of 5812131386880 is 886831312185.

5812131386880 is a `hidden beast` number, since 58 + 1 + 2 + 131 + 386 + 8 + 80 = 666.

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

It is a super-2 number, since 2×5812131386880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 4698569622 + ... + 4698570858.

Almost surely, 2^{5812131386880} 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 5812131386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13011166232064).

5812131386880 is an abundant number, since it is smaller than the sum of its proper divisors (20210201077248).

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

5812131386880 is a wasteful number, since it uses less digits than its factorization.

5812131386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 5812131386880 in words is "five trillion, eight hundred twelve billion, one hundred thirty-one million, three hundred eighty-six thousand, eight hundred eighty".