5789145600 has 480 divisors, whose sum is σ = 24294695040. Its totient is φ = 1322680320.

The previous prime is 5789145559. The next prime is 5789145611. The reversal of 5789145600 is 65419875.

5789145600 is a `hidden beast` number, since 5 + 7 + 89 + 1 + 4 + 560 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2418004 + ... + 2420396.

It is an arithmetic number, because the mean of its divisors is an integer number (50613948).

Almost surely, 2^5789145600 is an apocalyptic number.

5789145600 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 5789145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147347520).

5789145600 is an abundant number, since it is smaller than the sum of its proper divisors (18505549440).

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

5789145600 is a wasteful number, since it uses less digits than its factorization.

5789145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5789145600 is about 76086.4350590826. The cubic root of 5789145600 is about 1795.5802677527.

The spelling of 5789145600 in words is "five billion, seven hundred eighty-nine million, one hundred forty-five thousand, six hundred".