5395838976 has 240 divisors, whose sum is σ = 17588090520. Its totient is φ = 1634549760.

The previous prime is 5395838969. The next prime is 5395838993. The reversal of 5395838976 is 6798385935.

5395838976 is a `hidden beast` number, since 539 + 5 + 8 + 3 + 8 + 97 + 6 = 666.

It is a super-3 number, since 3×5395838976³ (a number of 30 digits) contains 333 as substring.

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 19 ways as a sum of consecutive naturals, for example, 1823290 + ... + 1826246.

Almost surely, 2^5395838976 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 5395838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794045260).

5395838976 is an abundant number, since it is smaller than the sum of its proper divisors (12192251544).

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

5395838976 is a wasteful number, since it uses less digits than its factorization.

5395838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2973 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The square root of 5395838976 is about 73456.3746450912. The cubic root of 5395838976 is about 1753.9599009116.

The spelling of 5395838976 in words is "five billion, three hundred ninety-five million, eight hundred thirty-eight thousand, nine hundred seventy-six".