5038161511680 has 432 divisors, whose sum is σ = 19071165282624. Its totient is φ = 1217842053120.

The previous prime is 5038161511673. The next prime is 5038161511681. The reversal of 5038161511680 is 861151618305.

It is a happy number.

5038161511680 is a `hidden beast` number, since 5 + 0 + 381 + 61 + 51 + 168 + 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 not an unprimeable number, because it can be changed into a prime (5038161511681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43914552 + ... + 44029128.

It is an arithmetic number, because the mean of its divisors is an integer number (44146215932).

Almost surely, 2^{5038161511680} 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 5038161511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535582641312).

5038161511680 is an abundant number, since it is smaller than the sum of its proper divisors (14033003770944).

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

5038161511680 is a wasteful number, since it uses less digits than its factorization.

5038161511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114962 (or 114945 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 5038161511680 in words is "five trillion, thirty-eight billion, one hundred sixty-one million, five hundred eleven thousand, six hundred eighty".