16127735040 has 432 divisors, whose sum is σ = 60934910400. Its totient is φ = 4072882176.

The previous prime is 16127735017. The next prime is 16127735111. The reversal of 16127735040 is 4053772161.

It is a happy number.

16127735040 is a `hidden beast` number, since 1 + 61 + 27 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16127734986 and 16127735004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5908396 + ... + 5911124.

Almost surely, 2^16127735040 is an apocalyptic number.

16127735040 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 16127735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30467455200).

16127735040 is an abundant number, since it is smaller than the sum of its proper divisors (44807175360).

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

16127735040 is an equidigital number, since it uses as much as digits as its factorization.

16127735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 16127735040 in words is "sixteen billion, one hundred twenty-seven million, seven hundred thirty-five thousand, forty".