20416189320 has 384 divisors, whose sum is σ = 72900172800. Its totient is φ = 5124508416.

The previous prime is 20416189303. The next prime is 20416189327. The reversal of 20416189320 is 2398161402.

20416189320 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 618 + 9 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20416189327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41922117 + ... + 41922603.

It is an arithmetic number, because the mean of its divisors is an integer number (189844200).

Almost surely, 2^20416189320 is an apocalyptic number.

20416189320 is a gapful number since it is divisible by the number (20) 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 20416189320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36450086400).

20416189320 is an abundant number, since it is smaller than the sum of its proper divisors (52483983480).

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

20416189320 is a wasteful number, since it uses less digits than its factorization.

20416189320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20416189320 in words is "twenty billion, four hundred sixteen million, one hundred eighty-nine thousand, three hundred twenty".