16616208960 has 336 divisors, whose sum is σ = 61764306240. Its totient is φ = 4075868160.

The previous prime is 16616208943. The next prime is 16616208977. The reversal of 16616208960 is 6980261661.

16616208960 is a `hidden beast` number, since 1 + 6 + 616 + 20 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16616208943) and next prime (16616208977).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14189175 + ... + 14190345.

It is an arithmetic number, because the mean of its divisors is an integer number (183822340).

Almost surely, 2^16616208960 is an apocalyptic number.

16616208960 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 16616208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30882153120).

16616208960 is an abundant number, since it is smaller than the sum of its proper divisors (45148097280).

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

16616208960 is a wasteful number, since it uses less digits than its factorization.

16616208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16616208960 in words is "sixteen billion, six hundred sixteen million, two hundred eight thousand, nine hundred sixty".