16127051136 has 256 divisors, whose sum is σ = 51054182400. Its totient is φ = 4413450240.

The previous prime is 16127051131. The next prime is 16127051141. The reversal of 16127051136 is 63115072161.

It is an interprime number because it is at equal distance from previous prime (16127051131) and next prime (16127051141).

It is a junction number, because it is equal to n+sod(n) for n = 16127051097 and 16127051106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16127051131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8581845 + ... + 8583723.

It is an arithmetic number, because the mean of its divisors is an integer number (199430400).

Almost surely, 2^16127051136 is an apocalyptic number.

16127051136 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 16127051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25527091200).

16127051136 is an abundant number, since it is smaller than the sum of its proper divisors (34927131264).

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

16127051136 is a wasteful number, since it uses less digits than its factorization.

16127051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 16127051136 in words is "sixteen billion, one hundred twenty-seven million, fifty-one thousand, one hundred thirty-six".