5939752128000 has 640 divisors, whose sum is σ = 20953041348096. Its totient is φ = 1487683584000.

The previous prime is 5939752127987. The next prime is 5939752128031. The reversal of 5939752128000 is 8212579395.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1863742407 + ... + 1863745593.

Almost surely, 2^{5939752128000} is an apocalyptic number.

5939752128000 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 5939752128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10476520674048).

5939752128000 is an abundant number, since it is smaller than the sum of its proper divisors (15013289220096).

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

5939752128000 is a wasteful number, since it uses less digits than its factorization.

5939752128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 5939752128000 in words is "five trillion, nine hundred thirty-nine billion, seven hundred fifty-two million, one hundred twenty-eight thousand".