5789810400 has 144 divisors (see below), whose sum is σ = 20559184128. Its totient is φ = 1403584000.

The previous prime is 5789810393. The next prime is 5789810423. The reversal of 5789810400 is 40189875.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83256 + ... + 136055.

It is an arithmetic number, because the mean of its divisors is an integer number (142772112).

Almost surely, 2^5789810400 is an apocalyptic number.

5789810400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5789810400 is an abundant number, since it is smaller than the sum of its proper divisors (14769373728).

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

5789810400 is a wasteful number, since it uses less digits than its factorization.

5789810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219345 (or 219332 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 5789810400 is about 76090.8036493241. The cubic root of 5789810400 is about 1795.6489973002.

The spelling of 5789810400 in words is "five billion, seven hundred eighty-nine million, eight hundred ten thousand, four hundred".