59943979376640 has 2016 divisors, whose sum is σ = 234377669867040. Its totient is φ = 14531300425728.

The previous prime is 59943979376627. The next prime is 59943979376689. The reversal of 59943979376640 is 4667397934995.

59943979376640 is a `hidden beast` number, since 5 + 9 + 9 + 439 + 79 + 3 + 76 + 6 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 59943979376640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 437547294652 + ... + 437547294788.

It is an arithmetic number, because the mean of its divisors is an integer number (116258764815).

Almost surely, 2^{59943979376640} 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 59943979376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117188834933520).

59943979376640 is an abundant number, since it is smaller than the sum of its proper divisors (174433690490400).

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

59943979376640 is a wasteful number, since it uses less digits than its factorization.

59943979376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8332994880, while the sum is 81.

The spelling of 59943979376640 in words is "fifty-nine trillion, nine hundred forty-three billion, nine hundred seventy-nine million, three hundred seventy-six thousand, six hundred forty".