5959630404000 has 2688 divisors, whose sum is σ = 27796525166592. Its totient is φ = 1221416755200.

The previous prime is 5959630403929. The next prime is 5959630404011. The reversal of 5959630404000 is 4040369595.

5959630404000 is a `hidden beast` number, since 5 + 9 + 5 + 9 + 630 + 4 + 0 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 9818171697 + ... + 9818172303.

It is an arithmetic number, because the mean of its divisors is an integer number (10340969184).

Almost surely, 2^{5959630404000} is an apocalyptic number.

5959630404000 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 5959630404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898262583296).

5959630404000 is an abundant number, since it is smaller than the sum of its proper divisors (21836894762592).

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

5959630404000 is a wasteful number, since it uses less digits than its factorization.

5959630404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5959630404000 in words is "five trillion, nine hundred fifty-nine billion, six hundred thirty million, four hundred four thousand".