20382088320 has 640 divisors, whose sum is σ = 82037767680. Its totient is φ = 4777574400.

The previous prime is 20382088313. The next prime is 20382088343. The reversal of 20382088320 is 2388028302.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 17676864 + ... + 17678016.

It is an arithmetic number, because the mean of its divisors is an integer number (128184012).

Almost surely, 2^20382088320 is an apocalyptic number.

20382088320 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 20382088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41018883840).

20382088320 is an abundant number, since it is smaller than the sum of its proper divisors (61655679360).

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

20382088320 is a wasteful number, since it uses less digits than its factorization.

20382088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20382088320 in words is "twenty billion, three hundred eighty-two million, eighty-eight thousand, three hundred twenty".