16127392896 has 256 divisors, whose sum is σ = 49140172800. Its totient is φ = 5269515264.

The previous prime is 16127392891. The next prime is 16127392901. The reversal of 16127392896 is 69829372161.

16127392896 is a `hidden beast` number, since 161 + 2 + 7 + 392 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (16127392891) and next prime (16127392901).

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

It is not an unprimeable number, because it can be changed into a prime (16127392891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14836065 + ... + 14837151.

It is an arithmetic number, because the mean of its divisors is an integer number (191953800).

Almost surely, 2^16127392896 is an apocalyptic number.

16127392896 is a gapful number since it is divisible by the number (16) 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 16127392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570086400).

16127392896 is an abundant number, since it is smaller than the sum of its proper divisors (33012779904).

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

16127392896 is an frugal number, since it uses more digits than its factorization.

16127392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1145 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 16127392896 in words is "sixteen billion, one hundred twenty-seven million, three hundred ninety-two thousand, eight hundred ninety-six".