16556876640 has 288 divisors, whose sum is σ = 62974285920. Its totient is φ = 3936632832.

The previous prime is 16556876639. The next prime is 16556876671. The reversal of 16556876640 is 4667865561.

16556876640 is a `hidden beast` number, since 1 + 6 + 5 + 568 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447322 + ... + 482918.

It is an arithmetic number, because the mean of its divisors is an integer number (218660715).

Almost surely, 2^16556876640 is an apocalyptic number.

16556876640 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 16556876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487142960).

16556876640 is an abundant number, since it is smaller than the sum of its proper divisors (46417409280).

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

16556876640 is a wasteful number, since it uses less digits than its factorization.

16556876640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35654 (or 35643 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16556876640 in words is "sixteen billion, five hundred fifty-six million, eight hundred seventy-six thousand, six hundred forty".