20385192960 has 528 divisors, whose sum is σ = 77896570752. Its totient is φ = 4888166400.

The previous prime is 20385192953. The next prime is 20385192977. The reversal of 20385192960 is 6929158302.

20385192960 is a `hidden beast` number, since 20 + 38 + 519 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66401127 + ... + 66401433.

It is an arithmetic number, because the mean of its divisors is an integer number (147531384).

Almost surely, 2^20385192960 is an apocalyptic number.

20385192960 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 20385192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38948285376).

20385192960 is an abundant number, since it is smaller than the sum of its proper divisors (57511377792).

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

20385192960 is a wasteful number, since it uses less digits than its factorization.

20385192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 20385192960 in words is "twenty billion, three hundred eighty-five million, one hundred ninety-two thousand, nine hundred sixty".