5064171840000 has 4000 divisors, whose sum is σ = 24686806193280. Its totient is φ = 1003290624000.

The previous prime is 5064171839983. The next prime is 5064171840023. The reversal of 5064171840000 is 481714605.

It is a happy number.

5064171840000 is a `hidden beast` number, since 5 + 0 + 641 + 7 + 1 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4000).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 44815679944 + ... + 44815680056.

Almost surely, 2^{5064171840000} is an apocalyptic number.

5064171840000 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 5064171840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343403096640).

5064171840000 is an abundant number, since it is smaller than the sum of its proper divisors (19622634353280).

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

5064171840000 is a wasteful number, since it uses less digits than its factorization.

5064171840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 5064171840000 in words is "five trillion, sixty-four billion, one hundred seventy-one million, eight hundred forty thousand".