5959008000000 has 2520 divisors, whose sum is σ = 25742184167700. Its totient is φ = 1368576000000.

The previous prime is 5959007999999. The next prime is 5959008000041. The reversal of 5959008000000 is 8009595.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 313631999991 + ... + 313632000009.

Almost surely, 2^{5959008000000} is an apocalyptic number.

5959008000000 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 5959008000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871092083850).

5959008000000 is an abundant number, since it is smaller than the sum of its proper divisors (19783176167700).

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

5959008000000 is an frugal number, since it uses more digits than its factorization.

5959008000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 5959008000000 in words is "five trillion, nine hundred fifty-nine billion, eight million", and thus it is an aban number.