16213617720 has 320 divisors, whose sum is σ = 56100924000. Its totient is φ = 4198182912.

The previous prime is 16213617697. The next prime is 16213617727. The reversal of 16213617720 is 2771631261.

It is a happy number.

16213617720 is a `hidden beast` number, since 1 + 6 + 2 + 13 + 617 + 7 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16213617727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17012764 + ... + 17013716.

Almost surely, 2^16213617720 is an apocalyptic number.

16213617720 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 16213617720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050462000).

16213617720 is an abundant number, since it is smaller than the sum of its proper divisors (39887306280).

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

16213617720 is a wasteful number, since it uses less digits than its factorization.

16213617720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 16213617720 in words is "sixteen billion, two hundred thirteen million, six hundred seventeen thousand, seven hundred twenty".