16656710400 has 1080 divisors, whose sum is σ = 70659477504. Its totient is φ = 3832012800.

The previous prime is 16656710363. The next prime is 16656710467. The reversal of 16656710400 is 401765661.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 131155137 + ... + 131155263.

Almost surely, 2^16656710400 is an apocalyptic number.

16656710400 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 16656710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35329738752).

16656710400 is an abundant number, since it is smaller than the sum of its proper divisors (54002767104).

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

16656710400 is a wasteful number, since it uses less digits than its factorization.

16656710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16656710400 in words is "sixteen billion, six hundred fifty-six million, seven hundred ten thousand, four hundred".