20387823120 has 400 divisors, whose sum is σ = 81280869120. Its totient is φ = 4639638528.

The previous prime is 20387823101. The next prime is 20387823133. The reversal of 20387823120 is 2132878302.

It is a happy number.

20387823120 is a `hidden beast` number, since 20 + 387 + 8 + 231 + 20 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 11928826 + ... + 11930534.

Almost surely, 2^20387823120 is an apocalyptic number.

20387823120 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 20387823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40640434560).

20387823120 is an abundant number, since it is smaller than the sum of its proper divisors (60893046000).

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

20387823120 is a wasteful number, since it uses less digits than its factorization.

20387823120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20387823120 in words is "twenty billion, three hundred eighty-seven million, eight hundred twenty-three thousand, one hundred twenty".