5945706800 has 120 divisors (see below), whose sum is σ = 15915267072. Its totient is φ = 2116000000.

The previous prime is 5945706787. The next prime is 5945706853. The reversal of 5945706800 is 86075495.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 192425 + ... + 221175.

Almost surely, 2^5945706800 is an apocalyptic number.

5945706800 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 5945706800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957633536).

5945706800 is an abundant number, since it is smaller than the sum of its proper divisors (9969560272).

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

5945706800 is a wasteful number, since it uses less digits than its factorization.

5945706800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28827 (or 28816 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 5945706800 is about 77108.4093987160. The cubic root of 5945706800 is about 1811.6230164032.

The spelling of 5945706800 in words is "five billion, nine hundred forty-five million, seven hundred six thousand, eight hundred".