16127089920 has 432 divisors, whose sum is σ = 57385316352. Its totient is φ = 4180377600.

The previous prime is 16127089907. The next prime is 16127089949. The reversal of 16127089920 is 2998072161.

16127089920 is a `hidden beast` number, since 1 + 612 + 7 + 0 + 8 + 9 + 9 + 20 = 666.

16127089920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106801845 + ... + 106801995.

Almost surely, 2^16127089920 is an apocalyptic number.

16127089920 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 16127089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28692658176).

16127089920 is an abundant number, since it is smaller than the sum of its proper divisors (41258226432).

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

16127089920 is a wasteful number, since it uses less digits than its factorization.

16127089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 16127089920 in words is "sixteen billion, one hundred twenty-seven million, eighty-nine thousand, nine hundred twenty".