16053984000 has 576 divisors, whose sum is σ = 62790698880. Its totient is φ = 4025548800.

The previous prime is 16053983993. The next prime is 16053984007. The reversal of 16053984000 is 48935061.

16053984000 is a `hidden beast` number, since 1 + 605 + 3 + 9 + 8 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16053983993) and next prime (16053984007).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16053984007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14687454 + ... + 14688546.

It is an arithmetic number, because the mean of its divisors is an integer number (109011630).

Almost surely, 2^16053984000 is an apocalyptic number.

16053984000 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 16053984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395349440).

16053984000 is an abundant number, since it is smaller than the sum of its proper divisors (46736714880).

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

16053984000 is a wasteful number, since it uses less digits than its factorization.

16053984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16053984000 in words is "sixteen billion, fifty-three million, nine hundred eighty-four thousand".