5358024000 has 336 divisors, whose sum is σ = 21906683136. Its totient is φ = 1224576000.

The previous prime is 5358023953. The next prime is 5358024059. The reversal of 5358024000 is 4208535.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 498685 + ... + 509315.

Almost surely, 2^5358024000 is an apocalyptic number.

5358024000 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 5358024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10953341568).

5358024000 is an abundant number, since it is smaller than the sum of its proper divisors (16548659136).

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

5358024000 is a wasteful number, since it uses less digits than its factorization.

5358024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671 (or 10648 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5358024000 is about 73198.5245752945. The cubic root of 5358024000 is about 1749.8529400232.

The spelling of 5358024000 in words is "five billion, three hundred fifty-eight million, twenty-four thousand".