16211641320 has 640 divisors, whose sum is σ = 69438124800. Its totient is φ = 3302498304.

The previous prime is 16211641319. The next prime is 16211641321. The reversal of 16211641320 is 2314611261.

It is a happy number.

16211641320 is a `hidden beast` number, since 1 + 6 + 2 + 11 + 641 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16211641319) and next prime (16211641321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16211641321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7324534 + ... + 7326746.

It is an arithmetic number, because the mean of its divisors is an integer number (108497070).

Almost surely, 2^16211641320 is an apocalyptic number.

16211641320 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 16211641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34719062400).

16211641320 is an abundant number, since it is smaller than the sum of its proper divisors (53226483480).

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

16211641320 is a wasteful number, since it uses less digits than its factorization.

16211641320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 16211641320 in words is "sixteen billion, two hundred eleven million, six hundred forty-one thousand, three hundred twenty".