16972919271552 has 128 divisors (see below), whose sum is σ = 47482100294400. Its totient is φ = 5357054223360.

The previous prime is 16972919271521. The next prime is 16972919271587. The reversal of 16972919271552 is 25517291927961.

16972919271552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13303527 + ... + 14523417.

It is an arithmetic number, because the mean of its divisors is an integer number (370953908550).

Almost surely, 2^{16972919271552} is an apocalyptic number.

16972919271552 is a gapful number since it is divisible by the number (12) 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 16972919271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23741050147200).

16972919271552 is an abundant number, since it is smaller than the sum of its proper divisors (30509181022848).

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

16972919271552 is a wasteful number, since it uses less digits than its factorization.

16972919271552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221834 (or 1221822 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 66.

The spelling of 16972919271552 in words is "sixteen trillion, nine hundred seventy-two billion, nine hundred nineteen million, two hundred seventy-one thousand, five hundred fifty-two".