16271629920 has 1152 divisors, whose sum is σ = 73215031680. Its totient is φ = 3386105856.

The previous prime is 16271629919. The next prime is 16271629931. The reversal of 16271629920 is 2992617261.

16271629920 is a `hidden beast` number, since 1 + 627 + 16 + 2 + 9 + 9 + 2 + 0 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222899004 + ... + 222899076.

It is an arithmetic number, because the mean of its divisors is an integer number (63554715).

Almost surely, 2^16271629920 is an apocalyptic number.

16271629920 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 16271629920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36607515840).

16271629920 is an abundant number, since it is smaller than the sum of its proper divisors (56943401760).

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

16271629920 is an equidigital number, since it uses as much as digits as its factorization.

16271629920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 16271629920 in words is "sixteen billion, two hundred seventy-one million, six hundred twenty-nine thousand, nine hundred twenty".