20386416960 has 1344 divisors, whose sum is σ = 92947126272. Its totient is φ = 4138573824.

The previous prime is 20386416937. The next prime is 20386416961. The reversal of 20386416960 is 6961468302.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20386416961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304274847 + ... + 304274913.

It is an arithmetic number, because the mean of its divisors is an integer number (69157088).

Almost surely, 2^20386416960 is an apocalyptic number.

20386416960 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 20386416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46473563136).

20386416960 is an abundant number, since it is smaller than the sum of its proper divisors (72560709312).

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

20386416960 is a wasteful number, since it uses less digits than its factorization.

20386416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 20386416960 in words is "twenty billion, three hundred eighty-six million, four hundred sixteen thousand, nine hundred sixty".