5350944000 has 288 divisors, whose sum is σ = 17945665920. Its totient is φ = 1413120000.

The previous prime is 5350943999. The next prime is 5350944017. The reversal of 5350944000 is 4490535.

It is a super-2 number, since 2×5350944000² = 57265203382272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13343800 + ... + 13344200.

It is an arithmetic number, because the mean of its divisors is an integer number (62311340).

Almost surely, 2^5350944000 is an apocalyptic number.

5350944000 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 5350944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972832960).

5350944000 is an abundant number, since it is smaller than the sum of its proper divisors (12594721920).

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

5350944000 is a wasteful number, since it uses less digits than its factorization.

5350944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5350944000 is about 73150.1469581572. The cubic root of 5350944000 is about 1749.0818585153.

The spelling of 5350944000 in words is "five billion, three hundred fifty million, nine hundred forty-four thousand".