39916590788997 has 48 divisors (see below), whose sum is σ = 63772230373488. Its totient is φ = 23899570007040.

The previous prime is 39916590788969. The next prime is 39916590789001. The reversal of 39916590788997 is 79988709561993.

39916590788997 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 6 + 590 + 7 + 8 + 8 + 9 + 9 + 7 = 666.

39916590788997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4496643239841 + 35419947549156 = 2120529^2 + 5951466^2 .

It is not a de Polignac number, because 39916590788997 - 2¹⁹ = 39916590264709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39916590788957) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 226374847 + ... + 226551107.

It is an arithmetic number, because the mean of its divisors is an integer number (1328588132781).

Almost surely, 2^{39916590788997} is an apocalyptic number.

39916590788997 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

39916590788997 is a deficient number, since it is larger than the sum of its proper divisors (23855639584491).

39916590788997 is a wasteful number, since it uses less digits than its factorization.

39916590788997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228630 (or 228627 counting only the distinct ones).

The product of its (nonzero) digits is 16665989760, while the sum is 90.

The spelling of 39916590788997 in words is "thirty-nine trillion, nine hundred sixteen billion, five hundred ninety million, seven hundred eighty-eight thousand, nine hundred ninety-seven".