5259179016000 has 4032 divisors, whose sum is σ = 25413334861824. Its totient is φ = 1065996288000.

The previous prime is 5259179015983. The next prime is 5259179016029. The reversal of 5259179016000 is 6109719525.

5259179016000 is a `hidden beast` number, since 5 + 25 + 9 + 17 + 9 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 38388167932 + ... + 38388168068.

It is an arithmetic number, because the mean of its divisors is an integer number (6302910432).

Almost surely, 2^{5259179016000} is an apocalyptic number.

5259179016000 is a gapful number since it is divisible by the number (50) 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 5259179016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12706667430912).

5259179016000 is an abundant number, since it is smaller than the sum of its proper divisors (20154155845824).

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

5259179016000 is a wasteful number, since it uses less digits than its factorization.

5259179016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 5259179016000 in words is "five trillion, two hundred fifty-nine billion, one hundred seventy-nine million, sixteen thousand".