5995998777600 has 864 divisors, whose sum is σ = 23865579171840. Its totient is φ = 1464246927360.

The previous prime is 5995998777557. The next prime is 5995998777607. The reversal of 5995998777600 is 67778995995.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 5995998777600.

It is not an unprimeable number, because it can be changed into a prime (5995998777607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285282292 + ... + 285303308.

Almost surely, 2^{5995998777600} is an apocalyptic number.

5995998777600 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 5995998777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932789585920).

5995998777600 is an abundant number, since it is smaller than the sum of its proper divisors (17869580394240).

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

5995998777600 is a wasteful number, since it uses less digits than its factorization.

5995998777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21192 (or 21167 counting only the distinct ones).

The product of its (nonzero) digits is 2700507600, while the sum is 81.

The spelling of 5995998777600 in words is "five trillion, nine hundred ninety-five billion, nine hundred ninety-eight million, seven hundred seventy-seven thousand, six hundred".