16506806400 has 768 divisors, whose sum is σ = 70575840000. Its totient is φ = 3766210560.

The previous prime is 16506806399. The next prime is 16506806423. The reversal of 16506806400 is 460860561.

16506806400 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 6 + 8 + 0 + 640 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 29634922 + ... + 29635478.

It is an arithmetic number, because the mean of its divisors is an integer number (91895625).

Almost surely, 2^16506806400 is an apocalyptic number.

16506806400 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 16506806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35287920000).

16506806400 is an abundant number, since it is smaller than the sum of its proper divisors (54069033600).

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

16506806400 is an equidigital number, since it uses as much as digits as its factorization.

16506806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16506806400 in words is "sixteen billion, five hundred six million, eight hundred six thousand, four hundred".