20380864140 has 768 divisors, whose sum is σ = 83452723200. Its totient is φ = 4009430016.

The previous prime is 20380864139. The next prime is 20380864247. The reversal of 20380864140 is 4146808302.

20380864140 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 0 + 8 + 641 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20380864095 and 20380864104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77493649 + ... + 77493911.

It is an arithmetic number, because the mean of its divisors is an integer number (108662400).

Almost surely, 2^20380864140 is an apocalyptic number.

20380864140 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 20380864140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41726361600).

20380864140 is an abundant number, since it is smaller than the sum of its proper divisors (63071859060).

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

20380864140 is a wasteful number, since it uses less digits than its factorization.

20380864140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

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

The spelling of 20380864140 in words is "twenty billion, three hundred eighty million, eight hundred sixty-four thousand, one hundred forty".