16501605120 has 1728 divisors, whose sum is σ = 80996557824. Its totient is φ = 3105423360.

The previous prime is 16501605053. The next prime is 16501605187. The reversal of 16501605120 is 2150610561.

It is a happy number.

16501605120 is a `hidden beast` number, since 1 + 6 + 50 + 1 + 605 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16501605053) and next prime (16501605187).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311351014 + ... + 311351066.

It is an arithmetic number, because the mean of its divisors is an integer number (46873008).

Almost surely, 2^16501605120 is an apocalyptic number.

16501605120 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 16501605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40498278912).

16501605120 is an abundant number, since it is smaller than the sum of its proper divisors (64494952704).

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

16501605120 is a wasteful number, since it uses less digits than its factorization.

16501605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 16501605120 in words is "sixteen billion, five hundred one million, six hundred five thousand, one hundred twenty".