16106376340800 has 504 divisors, whose sum is σ = 60773547744000. Its totient is φ = 4031695503360.

The previous prime is 16106376340771. The next prime is 16106376340801. The reversal of 16106376340800 is 804367360161.

16106376340800 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 6 + 3 + 7 + 634 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16106376340801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92692401 + ... + 92865999.

It is an arithmetic number, because the mean of its divisors is an integer number (120582436000).

Almost surely, 2^{16106376340800} is an apocalyptic number.

16106376340800 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 16106376340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30386773872000).

16106376340800 is an abundant number, since it is smaller than the sum of its proper divisors (44667171403200).

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

16106376340800 is a wasteful number, since it uses less digits than its factorization.

16106376340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174023 (or 174005 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16106376340800 in words is "sixteen trillion, one hundred six billion, three hundred seventy-six million, three hundred forty thousand, eight hundred".