2016681727500 has 180 divisors, whose sum is σ = 6949217194920. Its totient is φ = 488892480000.

The previous prime is 2016681727483. The next prime is 2016681727523. The reversal of 2016681727500 is 57271866102.

2016681727500 is a `hidden beast` number, since 2 + 0 + 1 + 66 + 81 + 7 + 2 + 7 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3826605 + ... + 4321604.

It is an arithmetic number, because the mean of its divisors is an integer number (38606762194).

Almost surely, 2^{2016681727500} is an apocalyptic number.

2016681727500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016681727500 is an abundant number, since it is smaller than the sum of its proper divisors (4932535467420).

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

2016681727500 is a wasteful number, since it uses less digits than its factorization.

2016681727500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148250 (or 8148230 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2016681727500 in words is "two trillion, sixteen billion, six hundred eighty-one million, seven hundred twenty-seven thousand, five hundred".