16007556960 has 168 divisors, whose sum is σ = 56701254960. Its totient is φ = 4268650752.

The previous prime is 16007556947. The next prime is 16007556991. The reversal of 16007556960 is 6965570061.

16007556960 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 7 + 556 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 48021 + ... + 185259.

It is an arithmetic number, because the mean of its divisors is an integer number (337507470).

Almost surely, 2^16007556960 is an apocalyptic number.

16007556960 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 16007556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28350627480).

16007556960 is an abundant number, since it is smaller than the sum of its proper divisors (40693698000).

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

16007556960 is an equidigital number, since it uses as much as digits as its factorization.

16007556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137272 (or 137249 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 16007556960 in words is "sixteen billion, seven million, five hundred fifty-six thousand, nine hundred sixty".