5138493085440 has 2016 divisors, whose sum is σ = 21958908140736. Its totient is φ = 1135151677440.

The previous prime is 5138493085423. The next prime is 5138493085441. The reversal of 5138493085440 is 445803948315.

It is a happy number.

5138493085440 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 4 + 93 + 0 + 8 + 544 + 0 = 666.

It is a super-2 number, since 2×5138493085440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5138493085441) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12943307322 + ... + 12943307718.

It is an arithmetic number, because the mean of its divisors is an integer number (10892315546).

Almost surely, 2^{5138493085440} 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 5138493085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979454070368).

5138493085440 is an abundant number, since it is smaller than the sum of its proper divisors (16820415055296).

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

5138493085440 is a wasteful number, since it uses less digits than its factorization.

5138493085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5138493085440 in words is "five trillion, one hundred thirty-eight billion, four hundred ninety-three million, eighty-five thousand, four hundred forty".