16506146160 has 480 divisors, whose sum is σ = 65670403968. Its totient is φ = 3637370880.

The previous prime is 16506146149. The next prime is 16506146201. The reversal of 16506146160 is 6164160561.

It is a happy number.

16506146160 is a `hidden beast` number, since 1 + 6 + 506 + 146 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×16506146160² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 16293814 + ... + 16294826.

Almost surely, 2^16506146160 is an apocalyptic number.

16506146160 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 16506146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32835201984).

16506146160 is an abundant number, since it is smaller than the sum of its proper divisors (49164257808).

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

16506146160 is a wasteful number, since it uses less digits than its factorization.

16506146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 16506146160 in words is "sixteen billion, five hundred six million, one hundred forty-six thousand, one hundred sixty".