16725057793920 has 1024 divisors, whose sum is σ = 72714412800000. Its totient is φ = 3621642264576.

The previous prime is 16725057793903. The next prime is 16725057793921. The reversal of 16725057793920 is 2939775052761.

16725057793920 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 5 + 0 + 577 + 9 + 39 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16725057793921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112539502 + ... + 112688018.

It is an arithmetic number, because the mean of its divisors is an integer number (71010168750).

Almost surely, 2^{16725057793920} is an apocalyptic number.

16725057793920 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 16725057793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36357206400000).

16725057793920 is an abundant number, since it is smaller than the sum of its proper divisors (55989355006080).

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

16725057793920 is a wasteful number, since it uses less digits than its factorization.

16725057793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148585 (or 148553 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 16725057793920 in words is "sixteen trillion, seven hundred twenty-five billion, fifty-seven million, seven hundred ninety-three thousand, nine hundred twenty".