5178027567000 has 384 divisors, whose sum is σ = 16760479357440. Its totient is φ = 1330819315200.

The previous prime is 5178027566993. The next prime is 5178027567019. The reversal of 5178027567000 is 7657208715.

It is a happy number.

It is a super-2 number, since 2×5178027567000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439443109 + ... + 439454891.

It is an arithmetic number, because the mean of its divisors is an integer number (43647081660).

Almost surely, 2^{5178027567000} is an apocalyptic number.

5178027567000 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 5178027567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380239678720).

5178027567000 is an abundant number, since it is smaller than the sum of its proper divisors (11582451790440).

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

5178027567000 is a wasteful number, since it uses less digits than its factorization.

5178027567000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11988 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 5178027567000 in words is "five trillion, one hundred seventy-eight billion, twenty-seven million, five hundred sixty-seven thousand".