16010986656 has 192 divisors, whose sum is σ = 48585858048. Its totient is φ = 4522272768.

The previous prime is 16010986627. The next prime is 16010986679. The reversal of 16010986656 is 65668901061.

It is a super-3 number, since 3×16010986656³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34284535 + ... + 34285001.

It is an arithmetic number, because the mean of its divisors is an integer number (253051344).

Almost surely, 2^16010986656 is an apocalyptic number.

16010986656 is a gapful number since it is divisible by the number (16) 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 16010986656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24292929024).

16010986656 is an abundant number, since it is smaller than the sum of its proper divisors (32574871392).

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

16010986656 is a wasteful number, since it uses less digits than its factorization.

16010986656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 16010986656 in words is "sixteen billion, ten million, nine hundred eighty-six thousand, six hundred fifty-six".