16535132160 has 384 divisors, whose sum is σ = 55477094400. Its totient is φ = 4199546880.

The previous prime is 16535132153. The next prime is 16535132167. The reversal of 16535132160 is 6123153561.

It is an interprime number because it is at equal distance from previous prime (16535132153) and next prime (16535132167).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16535132167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92374951 + ... + 92375129.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 2^16535132160 is an apocalyptic number.

16535132160 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 16535132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738547200).

16535132160 is an abundant number, since it is smaller than the sum of its proper divisors (38941962240).

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

16535132160 is a wasteful number, since it uses less digits than its factorization.

16535132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 16535132160 in words is "sixteen billion, five hundred thirty-five million, one hundred thirty-two thousand, one hundred sixty".