5944492800 has 270 divisors, whose sum is σ = 21981415148. Its totient is φ = 1585059840.

The previous prime is 5944492783. The next prime is 5944492831. The reversal of 5944492800 is 82944495.

It is a tau number, because it is divible by the number of its divisors (270).

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 (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 512667 + ... + 524133.

Almost surely, 2^5944492800 is an apocalyptic number.

5944492800 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 5944492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990707574).

5944492800 is an abundant number, since it is smaller than the sum of its proper divisors (16036922348).

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

5944492800 is a wasteful number, since it uses less digits than its factorization.

5944492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5944492800 is about 77100.5369631107. The cubic root of 5944492800 is about 1811.4997083806.

The spelling of 5944492800 in words is "five billion, nine hundred forty-four million, four hundred ninety-two thousand, eight hundred".