5358144000 has 640 divisors, whose sum is σ = 20222991360. Its totient is φ = 1247232000.

The previous prime is 5358143951. The next prime is 5358144073. The reversal of 5358144000 is 4418535.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90815971 + ... + 90816029.

It is an arithmetic number, because the mean of its divisors is an integer number (31598424).

Almost surely, 2^5358144000 is an apocalyptic number.

5358144000 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 5358144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111495680).

5358144000 is an abundant number, since it is smaller than the sum of its proper divisors (14864847360).

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

5358144000 is a wasteful number, since it uses less digits than its factorization.

5358144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5358144000 is about 73199.3442593580. The cubic root of 5358144000 is about 1749.8660033456.

The spelling of 5358144000 in words is "five billion, three hundred fifty-eight million, one hundred forty-four thousand".