1993579644056 has 512 divisors, whose sum is σ = 5531104051200. Its totient is φ = 647958528000.

The previous prime is 1993579644047. The next prime is 1993579644061. The reversal of 1993579644056 is 6504469753991.

It is a super-2 number, since 2×1993579644056² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 334883576 + ... + 334889528.

It is an arithmetic number, because the mean of its divisors is an integer number (10802937600).

Almost surely, 2^{1993579644056} 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 1993579644056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765552025600).

1993579644056 is an abundant number, since it is smaller than the sum of its proper divisors (3537524407144).

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

1993579644056 is a wasteful number, since it uses less digits than its factorization.

1993579644056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 68.

The spelling of 1993579644056 in words is "one trillion, nine hundred ninety-three billion, five hundred seventy-nine million, six hundred forty-four thousand, fifty-six".