5991152680800 has 432 divisors, whose sum is σ = 24196812992352. Its totient is φ = 1366430515200.

The previous prime is 5991152680789. The next prime is 5991152680811. The reversal of 5991152680800 is 80862511995.

It is an interprime number because it is at equal distance from previous prime (5991152680789) and next prime (5991152680811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23105472 + ... + 23363328.

It is an arithmetic number, because the mean of its divisors is an integer number (56011141186).

Almost surely, 2^{5991152680800} is an apocalyptic number.

5991152680800 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 5991152680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098406496176).

5991152680800 is an abundant number, since it is smaller than the sum of its proper divisors (18205660311552).

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

5991152680800 is a wasteful number, since it uses less digits than its factorization.

5991152680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258351 (or 258335 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 5991152680800 in words is "five trillion, nine hundred ninety-one billion, one hundred fifty-two million, six hundred eighty thousand, eight hundred".