5978562078720 has 768 divisors, whose sum is σ = 23889569034240. Its totient is φ = 1240045977600.

The previous prime is 5978562078689. The next prime is 5978562078733. The reversal of 5978562078720 is 278702658795.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×5978562078720³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1516245069 + ... + 1516249011.

It is an arithmetic number, because the mean of its divisors is an integer number (31106209680).

Almost surely, 2^{5978562078720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5978562078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944784517120).

5978562078720 is an abundant number, since it is smaller than the sum of its proper divisors (17911006955520).

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

5978562078720 is a wasteful number, since it uses less digits than its factorization.

5978562078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 66.

The spelling of 5978562078720 in words is "five trillion, nine hundred seventy-eight billion, five hundred sixty-two million, seventy-eight thousand, seven hundred twenty".