16557488640 has 1600 divisors, whose sum is σ = 79569692928. Its totient is φ = 3185049600.

The previous prime is 16557488621. The next prime is 16557488677. The reversal of 16557488640 is 4688475561.

16557488640 is a `hidden beast` number, since 1 + 6 + 5 + 574 + 8 + 8 + 64 + 0 = 666.

16557488640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271434210 + ... + 271434270.

Almost surely, 2^16557488640 is an apocalyptic number.

16557488640 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 16557488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39784846464).

16557488640 is an abundant number, since it is smaller than the sum of its proper divisors (63012204288).

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

16557488640 is a wasteful number, since it uses less digits than its factorization.

16557488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 16557488640 in words is "sixteen billion, five hundred fifty-seven million, four hundred eighty-eight thousand, six hundred forty".