16538971428000 has 576 divisors, whose sum is σ = 67890371657472. Its totient is φ = 3734785382400.

The previous prime is 16538971427977. The next prime is 16538971428041. The reversal of 16538971428000 is 82417983561.

16538971428000 is a `hidden beast` number, since 1 + 6 + 538 + 97 + 14 + 2 + 8 + 0 + 0 + 0 = 666.

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, 20520634 + ... + 21311366.

It is an arithmetic number, because the mean of its divisors is an integer number (117865228572).

It is a 1-persistent number, because it is pandigital, but 2⋅16538971428000 = 33077942856000 is not.

Almost surely, 2^{16538971428000} is an apocalyptic number.

16538971428000 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 16538971428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33945185828736).

16538971428000 is an abundant number, since it is smaller than the sum of its proper divisors (51351400229472).

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

16538971428000 is a wasteful number, since it uses less digits than its factorization.

16538971428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790854 (or 790833 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 16538971428000 in words is "sixteen trillion, five hundred thirty-eight billion, nine hundred seventy-one million, four hundred twenty-eight thousand".