5987416780800 has 3744 divisors, whose sum is σ = 28393649356800. Its totient is φ = 1196516966400.

The previous prime is 5987416780783. The next prime is 5987416780817. The reversal of 5987416780800 is 80876147895.

It is an interprime number because it is at equal distance from previous prime (5987416780783) and next prime (5987416780817).

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 127391846377 + ... + 127391846423.

Almost surely, 2^{5987416780800} is an apocalyptic number.

5987416780800 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 5987416780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196824678400).

5987416780800 is an abundant number, since it is smaller than the sum of its proper divisors (22406232576000).

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

5987416780800 is a wasteful number, since it uses less digits than its factorization.

5987416780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 5987416780800 in words is "five trillion, nine hundred eighty-seven billion, four hundred sixteen million, seven hundred eighty thousand, eight hundred".