5434060800 has 702 divisors, whose sum is σ = 22057609428. Its totient is φ = 1176698880.

The previous prime is 5434060789. The next prime is 5434060811. The reversal of 5434060800 is 80604345.

It is an interprime number because it is at equal distance from previous prime (5434060789) and next prime (5434060811).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 286003191 + ... + 286003209.

Almost surely, 2^5434060800 is an apocalyptic number.

5434060800 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 5434060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028804714).

5434060800 is an abundant number, since it is smaller than the sum of its proper divisors (16623548628).

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

5434060800 is a wasteful number, since it uses less digits than its factorization.

5434060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5434060800 is about 73716.0823701314. The cubic root of 5434060800 is about 1758.0915953369.

The spelling of 5434060800 in words is "five billion, four hundred thirty-four million, sixty thousand, eight hundred".