16548211680 has 1152 divisors, whose sum is σ = 73514262528. Its totient is φ = 3041280000.

The previous prime is 16548211651. The next prime is 16548211727. The reversal of 16548211680 is 8611284561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163843630 + ... + 163843730.

It is an arithmetic number, because the mean of its divisors is an integer number (63814464).

Almost surely, 2^16548211680 is an apocalyptic number.

16548211680 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 16548211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36757131264).

16548211680 is an abundant number, since it is smaller than the sum of its proper divisors (56966050848).

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

16548211680 is a wasteful number, since it uses less digits than its factorization.

16548211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 16548211680 in words is "sixteen billion, five hundred forty-eight million, two hundred eleven thousand, six hundred eighty".