16007842425600 has 864 divisors, whose sum is σ = 63919575552000. Its totient is φ = 3904612024320.

The previous prime is 16007842425593. The next prime is 16007842425613. The reversal of 16007842425600 is 652424870061.

16007842425600 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 7 + 8 + 42 + 42 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 95128737 + ... + 95296863.

Almost surely, 2^{16007842425600} is an apocalyptic number.

16007842425600 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 16007842425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31959787776000).

16007842425600 is an abundant number, since it is smaller than the sum of its proper divisors (47911733126400).

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

16007842425600 is a wasteful number, since it uses less digits than its factorization.

16007842425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168210 (or 168185 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 16007842425600 in words is "sixteen trillion, seven billion, eight hundred forty-two million, four hundred twenty-five thousand, six hundred".