16138162068480 has 352 divisors, whose sum is σ = 57570312729600. Its totient is φ = 4287137071104.

The previous prime is 16138162068463. The next prime is 16138162068517. The reversal of 16138162068480 is 8486026183161.

16138162068480 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 8 + 1 + 620 + 6 + 8 + 4 + 8 + 0 = 666.

16138162068480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36135181 + ... + 36579059.

It is an arithmetic number, because the mean of its divisors is an integer number (163552024800).

Almost surely, 2^{16138162068480} is an apocalyptic number.

16138162068480 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 16138162068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28785156364800).

16138162068480 is an abundant number, since it is smaller than the sum of its proper divisors (41432150661120).

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

16138162068480 is a wasteful number, since it uses less digits than its factorization.

16138162068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444176 (or 444152 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 16138162068480 in words is "sixteen trillion, one hundred thirty-eight billion, one hundred sixty-two million, sixty-eight thousand, four hundred eighty".