17996393960272 has 480 divisors, whose sum is σ = 47192979456000. Its totient is φ = 6568669126656.

The previous prime is 17996393960249. The next prime is 17996393960287. The reversal of 17996393960272 is 27206939369971.

It is a junction number, because it is equal to n+sod(n) for n = 17996393960195 and 17996393960204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1406071729 + ... + 1406084527.

It is an arithmetic number, because the mean of its divisors is an integer number (98318707200).

Almost surely, 2^{17996393960272} 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 17996393960272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23596489728000).

17996393960272 is an abundant number, since it is smaller than the sum of its proper divisors (29196585495728).

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

17996393960272 is a wasteful number, since it uses less digits than its factorization.

17996393960272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 416649744, while the sum is 73.

The spelling of 17996393960272 in words is "seventeen trillion, nine hundred ninety-six billion, three hundred ninety-three million, nine hundred sixty thousand, two hundred seventy-two".