16361170560 has 1152 divisors, whose sum is σ = 72377323200. Its totient is φ = 3511517184.

The previous prime is 16361170559. The next prime is 16361170591. The reversal of 16361170560 is 6507116361.

16361170560 is a `hidden beast` number, since 1 + 636 + 1 + 17 + 0 + 5 + 6 + 0 = 666.

16361170560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144789064 + ... + 144789176.

Almost surely, 2^16361170560 is an apocalyptic number.

16361170560 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 16361170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36188661600).

16361170560 is an abundant number, since it is smaller than the sum of its proper divisors (56016152640).

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

16361170560 is a wasteful number, since it uses less digits than its factorization.

16361170560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 16361170560 in words is "sixteen billion, three hundred sixty-one million, one hundred seventy thousand, five hundred sixty".