5944625591040 has 432 divisors, whose sum is σ = 21398600810496. Its totient is φ = 1522005811200.

The previous prime is 5944625591029. The next prime is 5944625591057. The reversal of 5944625591040 is 401955264495.

It is a happy number.

5944625591040 is a `hidden beast` number, since 5 + 9 + 4 + 4 + 6 + 2 + 5 + 591 + 0 + 40 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 45288705 + ... + 45419775.

Almost surely, 2^{5944625591040} 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 5944625591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699300405248).

5944625591040 is an abundant number, since it is smaller than the sum of its proper divisors (15453975219456).

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

5944625591040 is a wasteful number, since it uses less digits than its factorization.

5944625591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131256 (or 131239 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5944625591040 in words is "five trillion, nine hundred forty-four billion, six hundred twenty-five million, five hundred ninety-one thousand, forty".