16010469072000 has 1536 divisors, whose sum is σ = 64620291939840. Its totient is φ = 3916118016000.

The previous prime is 16010469071999. The next prime is 16010469072049. The reversal of 16010469072000 is 27096401061.

16010469072000 is a `hidden beast` number, since 1 + 601 + 0 + 46 + 9 + 0 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8744111085 + ... + 8744112915.

It is an arithmetic number, because the mean of its divisors is an integer number (42070502565).

Almost surely, 2^{16010469072000} is an apocalyptic number.

16010469072000 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 16010469072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32310145969920).

16010469072000 is an abundant number, since it is smaller than the sum of its proper divisors (48609822867840).

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

16010469072000 is a wasteful number, since it uses less digits than its factorization.

16010469072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16010469072000 in words is "sixteen trillion, ten billion, four hundred sixty-nine million, seventy-two thousand".