16128292320 has 480 divisors, whose sum is σ = 65569996800. Its totient is φ = 3657083904.

The previous prime is 16128292307. The next prime is 16128292331. The reversal of 16128292320 is 2329282161.

It is a happy number.

16128292320 is a `hidden beast` number, since 1 + 612 + 8 + 2 + 9 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 12609441 + ... + 12610719.

It is an arithmetic number, because the mean of its divisors is an integer number (136604160).

Almost surely, 2^16128292320 is an apocalyptic number.

16128292320 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 16128292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32784998400).

16128292320 is an abundant number, since it is smaller than the sum of its proper divisors (49441704480).

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

16128292320 is a wasteful number, since it uses less digits than its factorization.

16128292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16128292320 in words is "sixteen billion, one hundred twenty-eight million, two hundred ninety-two thousand, three hundred twenty".