39966498735968 has 192 divisors, whose sum is σ = 96960892976640. Its totient is φ = 15832927014912.

The previous prime is 39966498735959. The next prime is 39966498736027. The reversal of 39966498735968 is 86953789466993.

39966498735968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174292046 + ... + 174521202.

It is an arithmetic number, because the mean of its divisors is an integer number (505004650920).

Almost surely, 2^{39966498735968} is an apocalyptic number.

39966498735968 is a gapful number since it is divisible by the number (38) 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 39966498735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48480446488320).

39966498735968 is an abundant number, since it is smaller than the sum of its proper divisors (56994394240672).

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

39966498735968 is a wasteful number, since it uses less digits than its factorization.

39966498735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230189 (or 230181 counting only the distinct ones).

The product of its digits is 114281072640, while the sum is 92.

The spelling of 39966498735968 in words is "thirty-nine trillion, nine hundred sixty-six billion, four hundred ninety-eight million, seven hundred thirty-five thousand, nine hundred sixty-eight".