16001402976 has 216 divisors, whose sum is σ = 51723584640. Its totient is φ = 4663982592.

The previous prime is 16001402971. The next prime is 16001402999. The reversal of 16001402976 is 67920410061.

16001402976 is a `hidden beast` number, since 1 + 600 + 1 + 40 + 2 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16001402976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16001402971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1345665 + ... + 1357503.

It is an arithmetic number, because the mean of its divisors is an integer number (239461040).

Almost surely, 2^16001402976 is an apocalyptic number.

16001402976 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 16001402976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25861792320).

16001402976 is an abundant number, since it is smaller than the sum of its proper divisors (35722181664).

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

16001402976 is a wasteful number, since it uses less digits than its factorization.

16001402976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11906 (or 11876 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16001402976 in words is "sixteen billion, one million, four hundred two thousand, nine hundred seventy-six".