16211955352320 has 1296 divisors, whose sum is σ = 70694808125760. Its totient is φ = 3399805108224.

The previous prime is 16211955352309. The next prime is 16211955352321. The reversal of 16211955352320 is 2325355911261.

16211955352320 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 1 + 95 + 535 + 2 + 3 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16211955352321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1225479466 + ... + 1225492694.

It is an arithmetic number, because the mean of its divisors is an integer number (54548463060).

Almost surely, 2^{16211955352320} is an apocalyptic number.

16211955352320 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 16211955352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35347404062880).

16211955352320 is an abundant number, since it is smaller than the sum of its proper divisors (54482852773440).

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

16211955352320 is a wasteful number, since it uses less digits than its factorization.

16211955352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13450 (or 13426 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 16211955352320 in words is "sixteen trillion, two hundred eleven billion, nine hundred fifty-five million, three hundred fifty-two thousand, three hundred twenty".