5114135936000 has 704 divisors, whose sum is σ = 15759570677760. Its totient is φ = 1612711526400.

The previous prime is 5114135935949. The next prime is 5114135936003. The reversal of 5114135936000 is 6395314115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114135936003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4181631389 + ... + 4181632611.

Almost surely, 2^{5114135936000} is an apocalyptic number.

5114135936000 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 5114135936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879785338880).

5114135936000 is an abundant number, since it is smaller than the sum of its proper divisors (10645434741760).

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

5114135936000 is a wasteful number, since it uses less digits than its factorization.

5114135936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 5114135936000 in words is "five trillion, one hundred fourteen billion, one hundred thirty-five million, nine hundred thirty-six thousand".