5435584896 has 192 divisors, whose sum is σ = 17784560880. Its totient is φ = 1461583872.

The previous prime is 5435584883. The next prime is 5435584943. The reversal of 5435584896 is 6984855345.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311376 + ... + 328368.

Almost surely, 2^5435584896 is an apocalyptic number.

5435584896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5435584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892280440).

5435584896 is an abundant number, since it is smaller than the sum of its proper divisors (12348975984).

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

5435584896 is a wasteful number, since it uses less digits than its factorization.

5435584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17041 (or 17022 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

The square root of 5435584896 is about 73726.4192538875. The cubic root of 5435584896 is about 1758.2559444917.

The spelling of 5435584896 in words is "five billion, four hundred thirty-five million, five hundred eighty-four thousand, eight hundred ninety-six".