5386838688 has 576 divisors, whose sum is σ = 20946159360. Its totient is φ = 1313832960.

The previous prime is 5386838663. The next prime is 5386838689. The reversal of 5386838688 is 8868386835.

5386838688 is a `hidden beast` number, since 538 + 6 + 8 + 38 + 68 + 8 = 666.

It is a super-2 number, since 2×5386838688² = 58036062101067122688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5386838689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12440520 + ... + 12440952.

It is an arithmetic number, because the mean of its divisors is an integer number (36364860).

Almost surely, 2^5386838688 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 5386838688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10473079680).

5386838688 is an abundant number, since it is smaller than the sum of its proper divisors (15559320672).

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

5386838688 is a wasteful number, since it uses less digits than its factorization.

5386838688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The square root of 5386838688 is about 73395.0862660437. The cubic root of 5386838688 is about 1752.9841533905.

The spelling of 5386838688 in words is "five billion, three hundred eighty-six million, eight hundred thirty-eight thousand, six hundred eighty-eight".