16542271872 has 1024 divisors, whose sum is σ = 65214720000. Its totient is φ = 4013162496.

The previous prime is 16542271789. The next prime is 16542271883. The reversal of 16542271872 is 27817224561.

16542271872 is a `hidden beast` number, since 1 + 6 + 542 + 27 + 1 + 87 + 2 = 666.

Its product of digits (376320) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226606428 + ... + 226606500.

It is an arithmetic number, because the mean of its divisors is an integer number (63686250).

Almost surely, 2^16542271872 is an apocalyptic number.

16542271872 is a gapful number since it is divisible by the number (12) 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 16542271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32607360000).

16542271872 is an abundant number, since it is smaller than the sum of its proper divisors (48672448128).

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

16542271872 is a wasteful number, since it uses less digits than its factorization.

16542271872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 16542271872 in words is "sixteen billion, five hundred forty-two million, two hundred seventy-one thousand, eight hundred seventy-two".