20385792000 has 768 divisors, whose sum is σ = 85059187200. Its totient is φ = 4600627200.

The previous prime is 20385791981. The next prime is 20385792017. The reversal of 20385792000 is 29758302.

It is a happy number.

20385792000 is a `hidden beast` number, since 2 + 0 + 385 + 79 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 258047961 + ... + 258048039.

It is an arithmetic number, because the mean of its divisors is an integer number (110754150).

Almost surely, 2^20385792000 is an apocalyptic number.

20385792000 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 20385792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42529593600).

20385792000 is an abundant number, since it is smaller than the sum of its proper divisors (64673395200).

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

20385792000 is an frugal number, since it uses more digits than its factorization.

20385792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20385792000 in words is "twenty billion, three hundred eighty-five million, seven hundred ninety-two thousand".