5211993600 has 600 divisors, whose sum is σ = 21089652408. Its totient is φ = 1260748800.

The previous prime is 5211993587. The next prime is 5211993601. The reversal of 5211993600 is 63991125.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211993601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11404572 + ... + 11405028.

Almost surely, 2^5211993600 is an apocalyptic number.

5211993600 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 5211993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544826204).

5211993600 is an abundant number, since it is smaller than the sum of its proper divisors (15877658808).

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

5211993600 is a wasteful number, since it uses less digits than its factorization.

5211993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5211993600 is about 72194.1382662055. The cubic root of 5211993600 is about 1733.8091527365.

The spelling of 5211993600 in words is "five billion, two hundred eleven million, nine hundred ninety-three thousand, six hundred".