16551877680 has 240 divisors, whose sum is σ = 60226770240. Its totient is φ = 4049528832.

The previous prime is 16551877649. The next prime is 16551877691. The reversal of 16551877680 is 8677815561.

16551877680 is a `hidden beast` number, since 1 + 6 + 551 + 8 + 7 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1557826 + ... + 1568414.

It is an arithmetic number, because the mean of its divisors is an integer number (250944876).

Almost surely, 2^16551877680 is an apocalyptic number.

16551877680 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 16551877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30113385120).

16551877680 is an abundant number, since it is smaller than the sum of its proper divisors (43674892560).

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

16551877680 is a wasteful number, since it uses less digits than its factorization.

16551877680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10788 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 16551877680 in words is "sixteen billion, five hundred fifty-one million, eight hundred seventy-seven thousand, six hundred eighty".