5129175367680 has 816 divisors, whose sum is σ = 20564146520064. Its totient is φ = 1082067517440.

The previous prime is 5129175367633. The next prime is 5129175367691. The reversal of 5129175367680 is 867635719215.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626192385 + ... + 626200575.

Almost surely, 2^{5129175367680} 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 5129175367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10282073260032).

5129175367680 is an abundant number, since it is smaller than the sum of its proper divisors (15434971152384).

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

5129175367680 is an equidigital number, since it uses as much as digits as its factorization.

5129175367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 5129175367680 in words is "five trillion, one hundred twenty-nine billion, one hundred seventy-five million, three hundred sixty-seven thousand, six hundred eighty".