16755552000 has 1152 divisors, whose sum is σ = 70711280640. Its totient is φ = 3870720000.

The previous prime is 16755551999. The next prime is 16755552007. The reversal of 16755552000 is 25555761.

It is a happy number.

16755552000 is a `hidden beast` number, since 16 + 75 + 55 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (16755552007) 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, 389663979 + ... + 389664021.

It is an arithmetic number, because the mean of its divisors is an integer number (61381320).

Almost surely, 2^16755552000 is an apocalyptic number.

16755552000 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 16755552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35355640320).

16755552000 is an abundant number, since it is smaller than the sum of its proper divisors (53955728640).

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

16755552000 is a wasteful number, since it uses less digits than its factorization.

16755552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 16755552000 in words is "sixteen billion, seven hundred fifty-five million, five hundred fifty-two thousand".