16364431985720 has 384 divisors, whose sum is σ = 47140683004800. Its totient is φ = 4975056433152.

The previous prime is 16364431985617. The next prime is 16364431985743. The reversal of 16364431985720 is 2758913446361.

It is a super-3 number, since 3×16364431985720³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16364431985720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840528146 + ... + 840547614.

It is an arithmetic number, because the mean of its divisors is an integer number (122762195325).

It is a 1-persistent number, because it is pandigital, but 2⋅16364431985720 = 32728863971440 is not.

Almost surely, 2^{16364431985720} is an apocalyptic number.

16364431985720 is a gapful number since it is divisible by the number (10) 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 16364431985720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23570341502400).

16364431985720 is an abundant number, since it is smaller than the sum of its proper divisors (30776251019080).

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

16364431985720 is a wasteful number, since it uses less digits than its factorization.

16364431985720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19695 (or 19612 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 16364431985720 in words is "sixteen trillion, three hundred sixty-four billion, four hundred thirty-one million, nine hundred eighty-five thousand, seven hundred twenty".