5435865600 has 480 divisors, whose sum is σ = 20769224256. Its totient is φ = 1238630400.

The previous prime is 5435865581. The next prime is 5435865623. The reversal of 5435865600 is 65685345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7180422 + ... + 7181178.

Almost surely, 2^5435865600 is an apocalyptic number.

5435865600 is a gapful number since it is divisible by the number (50) 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 5435865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10384612128).

5435865600 is an abundant number, since it is smaller than the sum of its proper divisors (15333358656).

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

5435865600 is a wasteful number, since it uses less digits than its factorization.

5435865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5435865600 is about 73728.3229159595. The cubic root of 5435865600 is about 1758.2862105373.

The spelling of 5435865600 in words is "five billion, four hundred thirty-five million, eight hundred sixty-five thousand, six hundred".