16538431749120 has 528 divisors, whose sum is σ = 58748964193920. Its totient is φ = 4299527651328.

The previous prime is 16538431749113. The next prime is 16538431749131. The reversal of 16538431749120 is 2194713483561.

16538431749120 is a `hidden beast` number, since 1 + 6 + 5 + 38 + 431 + 74 + 91 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083840051 + ... + 1083855309.

It is an arithmetic number, because the mean of its divisors is an integer number (111266977640).

It is a 1-persistent number, because it is pandigital, but 2⋅16538431749120 = 33076863498240 is not.

Almost surely, 2^{16538431749120} is an apocalyptic number.

16538431749120 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 16538431749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29374482096960).

16538431749120 is an abundant number, since it is smaller than the sum of its proper divisors (42210532444800).

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

16538431749120 is a wasteful number, since it uses less digits than its factorization.

16538431749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15880 (or 15859 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 16538431749120 in words is "sixteen trillion, five hundred thirty-eight billion, four hundred thirty-one million, seven hundred forty-nine thousand, one hundred twenty".