16536441600 has 1296 divisors, whose sum is σ = 73806387200. Its totient is φ = 3657830400.

The previous prime is 16536441577. The next prime is 16536441641. The reversal of 16536441600 is 614463561.

It is a happy number.

16536441600 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 6 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 533433585 + ... + 533433615.

Almost surely, 2^16536441600 is an apocalyptic number.

16536441600 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 16536441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36903193600).

16536441600 is an abundant number, since it is smaller than the sum of its proper divisors (57269945600).

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

16536441600 is an frugal number, since it uses more digits than its factorization.

16536441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 16536441600 in words is "sixteen billion, five hundred thirty-six million, four hundred forty-one thousand, six hundred".