5815996800 has 192 divisors, whose sum is σ = 19775400960. Its totient is φ = 1500825600.

The previous prime is 5815996789. The next prime is 5815996807. The reversal of 5815996800 is 86995185.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5815996800² = 67651637555220480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5815996807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287829 + ... + 307371.

It is an arithmetic number, because the mean of its divisors is an integer number (102996880).

Almost surely, 2^5815996800 is an apocalyptic number.

5815996800 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 5815996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887700480).

5815996800 is an abundant number, since it is smaller than the sum of its proper divisors (13959404160).

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

5815996800 is a wasteful number, since it uses less digits than its factorization.

5815996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19601 (or 19584 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 5815996800 is about 76262.6828796365. The cubic root of 5815996800 is about 1798.3520720036.

The spelling of 5815996800 in words is "five billion, eight hundred fifteen million, nine hundred ninety-six thousand, eight hundred".