16038452319120 has 960 divisors, whose sum is σ = 70433178654720. Its totient is φ = 3282899051520.

The previous prime is 16038452319091. The next prime is 16038452319167. The reversal of 16038452319120 is 2191325483061.

16038452319120 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 8 + 452 + 3 + 191 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122512419 + ... + 122643261.

It is an arithmetic number, because the mean of its divisors is an integer number (73367894432).

Almost surely, 2^{16038452319120} is an apocalyptic number.

16038452319120 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 16038452319120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35216589327360).

16038452319120 is an abundant number, since it is smaller than the sum of its proper divisors (54394726335600).

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

16038452319120 is a wasteful number, since it uses less digits than its factorization.

16038452319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130961 (or 130938 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16038452319120 in words is "sixteen trillion, thirty-eight billion, four hundred fifty-two million, three hundred nineteen thousand, one hundred twenty".