5383072800 has 648 divisors, whose sum is σ = 22644550656. Its totient is φ = 1178634240.

The previous prime is 5383072769. The next prime is 5383072811. The reversal of 5383072800 is 82703835.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 42386337 + ... + 42386463.

Almost surely, 2^5383072800 is an apocalyptic number.

5383072800 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 5383072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322275328).

5383072800 is an abundant number, since it is smaller than the sum of its proper divisors (17261477856).

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

5383072800 is a wasteful number, since it uses less digits than its factorization.

5383072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5383072800 is about 73369.4268752319. The cubic root of 5383072800 is about 1752.5755599448.

The spelling of 5383072800 in words is "five billion, three hundred eighty-three million, seventy-two thousand, eight hundred".