16545346560 has 264 divisors, whose sum is σ = 60704374536. Its totient is φ = 4152360960.

The previous prime is 16545346553. The next prime is 16545346583. The reversal of 16545346560 is 6564354561.

16545346560 is a `hidden beast` number, since 1 + 6 + 5 + 45 + 3 + 46 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5128851456 + 11416495104 = 71616^2 + 106848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772800 + ... + 793920.

Almost surely, 2^16545346560 is an apocalyptic number.

16545346560 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 16545346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30352187268).

16545346560 is an abundant number, since it is smaller than the sum of its proper divisors (44159027976).

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

16545346560 is a wasteful number, since it uses less digits than its factorization.

16545346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 16545346560 in words is "sixteen billion, five hundred forty-five million, three hundred forty-six thousand, five hundred sixty".