5436582395904 has 945 divisors, whose sum is σ = 18663446426779. Its totient is φ = 1575820984320.

The previous prime is 5436582395779. The next prime is 5436582395999. The reversal of 5436582395904 is 4095932856345.

It is a happy number.

The square root of 5436582395904 is 2331648.

It is a perfect power (a square), and thus also a powerful number.

5436582395904 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 5 + 8 + 2 + 39 + 590 + 4 = 666.

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 44 ways as a sum of consecutive naturals, for example, 236373147637 + ... + 236373147659.

Almost surely, 2^{5436582395904} is an apocalyptic number.

5436582395904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5436582395904 is the 2331648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5436582395904

5436582395904 is an abundant number, since it is smaller than the sum of its proper divisors (13226864030875).

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

5436582395904 is an frugal number, since it uses more digits than its factorization.

5436582395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 5436582395904 in words is "five trillion, four hundred thirty-six billion, five hundred eighty-two million, three hundred ninety-five thousand, nine hundred four".