5945145600 has 432 divisors, whose sum is σ = 21188921600. Its totient is φ = 1463132160.

The previous prime is 5945145541. The next prime is 5945145611. The reversal of 5945145600 is 65415495.

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, 15686211 + ... + 15686589.

Almost surely, 2^5945145600 is an apocalyptic number.

5945145600 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 5945145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594460800).

5945145600 is an abundant number, since it is smaller than the sum of its proper divisors (15243776000).

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

5945145600 is a wasteful number, since it uses less digits than its factorization.

5945145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 5945145600 is about 77104.7702804437. The cubic root of 5945145600 is about 1811.5660164613.

The spelling of 5945145600 in words is "five billion, nine hundred forty-five million, one hundred forty-five thousand, six hundred".