16616860800 has 384 divisors, whose sum is σ = 59966697600. Its totient is φ = 4025548800.

The previous prime is 16616860769. The next prime is 16616860847. The reversal of 16616860800 is 806861661.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16616860800² (a number of 21 digits) contains 22 as substring.

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, 4731045 + ... + 4734555.

It is an arithmetic number, because the mean of its divisors is an integer number (156163275).

Almost surely, 2^16616860800 is an apocalyptic number.

16616860800 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 16616860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29983348800).

16616860800 is an abundant number, since it is smaller than the sum of its proper divisors (43349836800).

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

16616860800 is a wasteful number, since it uses less digits than its factorization.

16616860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 16616860800 in words is "sixteen billion, six hundred sixteen million, eight hundred sixty thousand, eight hundred".