5034868040160 has 768 divisors, whose sum is σ = 20258893670400. Its totient is φ = 1144027348992.

The previous prime is 5034868040141. The next prime is 5034868040221. The reversal of 5034868040160 is 610408684305.

5034868040160 is a `hidden beast` number, since 5 + 0 + 3 + 486 + 8 + 0 + 4 + 0 + 160 = 666.

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 127 ways as a sum of consecutive naturals, for example, 6547292256 + ... + 6547293024.

It is an arithmetic number, because the mean of its divisors is an integer number (26378767800).

Almost surely, 2^{5034868040160} 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 5034868040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10129446835200).

5034868040160 is an abundant number, since it is smaller than the sum of its proper divisors (15224025630240).

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

5034868040160 is a wasteful number, since it uses less digits than its factorization.

5034868040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5034868040160 in words is "five trillion, thirty-four billion, eight hundred sixty-eight million, forty thousand, one hundred sixty".