16653288960 has 1200 divisors, whose sum is σ = 76200814800. Its totient is φ = 3437199360.

The previous prime is 16653288941. The next prime is 16653288973. The reversal of 16653288960 is 6988235661.

It is a happy number.

16653288960 is a `hidden beast` number, since 16 + 6 + 532 + 8 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16653288897 and 16653288906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111766966 + ... + 111767114.

It is an arithmetic number, because the mean of its divisors is an integer number (63500679).

Almost surely, 2^16653288960 is an apocalyptic number.

16653288960 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 16653288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38100407400).

16653288960 is an abundant number, since it is smaller than the sum of its proper divisors (59547525840).

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

16653288960 is a wasteful number, since it uses less digits than its factorization.

16653288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16653288960 in words is "sixteen billion, six hundred fifty-three million, two hundred eighty-eight thousand, nine hundred sixty".