16506765660 has 384 divisors, whose sum is σ = 61962485760. Its totient is φ = 3179520000.

The previous prime is 16506765659. The next prime is 16506765661. The reversal of 16506765660 is 6656760561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16506765659) and next prime (16506765661).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16506765661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4123660 + ... + 4127660.

It is an arithmetic number, because the mean of its divisors is an integer number (161360640).

Almost surely, 2^16506765660 is an apocalyptic number.

16506765660 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 16506765660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981242880).

16506765660 is an abundant number, since it is smaller than the sum of its proper divisors (45455720100).

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

16506765660 is a wasteful number, since it uses less digits than its factorization.

16506765660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 16506765660 in words is "sixteen billion, five hundred six million, seven hundred sixty-five thousand, six hundred sixty".