5948955012000 has 1536 divisors, whose sum is σ = 26502200524800. Its totient is φ = 1126434816000.

The previous prime is 5948955011981. The next prime is 5948955012019. The reversal of 5948955012000 is 2105598495.

It is an interprime number because it is at equal distance from previous prime (5948955011981) and next prime (5948955012019).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 948944866 + ... + 948951134.

It is an arithmetic number, because the mean of its divisors is an integer number (17254036800).

Almost surely, 2^{5948955012000} is an apocalyptic number.

5948955012000 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 5948955012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251100262400).

5948955012000 is an abundant number, since it is smaller than the sum of its proper divisors (20553245512800).

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

5948955012000 is a wasteful number, since it uses less digits than its factorization.

5948955012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 5948955012000 in words is "five trillion, nine hundred forty-eight billion, nine hundred fifty-five million, twelve thousand".