5129531027712 has 1728 divisors, whose sum is σ = 20276679494400. Its totient is φ = 1279948013568.

The previous prime is 5129531027689. The next prime is 5129531027717. The reversal of 5129531027712 is 2177201359215.

5129531027712 is a `hidden beast` number, since 5 + 1 + 29 + 531 + 0 + 27 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5129531027717) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6776130438 + ... + 6776131194.

Almost surely, 2^{5129531027712} is an apocalyptic number.

5129531027712 is a gapful number since it is divisible by the number (52) 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 5129531027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10138339747200).

5129531027712 is an abundant number, since it is smaller than the sum of its proper divisors (15147148466688).

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

5129531027712 is an equidigital number, since it uses as much as digits as its factorization.

5129531027712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 5129531027712 in words is "five trillion, one hundred twenty-nine billion, five hundred thirty-one million, twenty-seven thousand, seven hundred twelve".