16472730193920 has 4992 divisors, whose sum is σ = 83532284559360. Its totient is φ = 2889476997120.

The previous prime is 16472730193919. The next prime is 16472730193951. The reversal of 16472730193920 is 2939103727461.

16472730193920 is a `hidden beast` number, since 1 + 6 + 472 + 73 + 0 + 19 + 3 + 92 + 0 = 666.

16472730193920 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 (4992).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 129706536897 + ... + 129706537023.

It is an arithmetic number, because the mean of its divisors is an integer number (16733230080).

Almost surely, 2^{16472730193920} is an apocalyptic number.

16472730193920 is a gapful number since it is divisible by the number (10) 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 16472730193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41766142279680).

16472730193920 is an abundant number, since it is smaller than the sum of its proper divisors (67059554365440).

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

16472730193920 is a wasteful number, since it uses less digits than its factorization.

16472730193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 16472730193920 in words is "sixteen trillion, four hundred seventy-two billion, seven hundred thirty million, one hundred ninety-three thousand, nine hundred twenty".