16086542976 has 480 divisors, whose sum is σ = 57331058400. Its totient is φ = 4385829888.

The previous prime is 16086542921. The next prime is 16086543001. The reversal of 16086542976 is 67924568061.

16086542976 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 6 + 542 + 97 + 6 = 666.

16086542976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38392495 + ... + 38392913.

It is an arithmetic number, because the mean of its divisors is an integer number (119439705).

Almost surely, 2^16086542976 is an apocalyptic number.

16086542976 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 16086542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28665529200).

16086542976 is an abundant number, since it is smaller than the sum of its proper divisors (41244515424).

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

16086542976 is an equidigital number, since it uses as much as digits as its factorization.

16086542976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 160865 and 42976, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 16086542976 in words is "sixteen billion, eighty-six million, five hundred forty-two thousand, nine hundred seventy-six".