5038669964160 has 512 divisors, whose sum is σ = 20403194803200. Its totient is φ = 1151211626496.

The previous prime is 5038669964101. The next prime is 5038669964177. The reversal of 5038669964160 is 614699668305.

5038669964160 is a `hidden beast` number, since 5 + 0 + 386 + 6 + 9 + 96 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343156179 + ... + 343170861.

It is an arithmetic number, because the mean of its divisors is an integer number (39849989850).

Almost surely, 2^{5038669964160} 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 5038669964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201597401600).

5038669964160 is an abundant number, since it is smaller than the sum of its proper divisors (15364524839040).

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

5038669964160 is a wasteful number, since it uses less digits than its factorization.

5038669964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17555 (or 17537 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 5038669964160 in words is "five trillion, thirty-eight billion, six hundred sixty-nine million, nine hundred sixty-four thousand, one hundred sixty".