5138494812000 has 576 divisors, whose sum is σ = 20080477767168. Its totient is φ = 1234043520000.

The previous prime is 5138494811981. The next prime is 5138494812023. The reversal of 5138494812000 is 2184948315.

5138494812000 is a `hidden beast` number, since 5 + 1 + 38 + 494 + 8 + 120 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42311365 + ... + 42432635.

It is an arithmetic number, because the mean of its divisors is an integer number (34861940568).

Almost surely, 2^{5138494812000} is an apocalyptic number.

5138494812000 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 5138494812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040238883584).

5138494812000 is an abundant number, since it is smaller than the sum of its proper divisors (14941982955168).

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

5138494812000 is a wasteful number, since it uses less digits than its factorization.

5138494812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121420 (or 121399 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5138494812000 in words is "five trillion, one hundred thirty-eight billion, four hundred ninety-four million, eight hundred twelve thousand".