20380025952 has 768 divisors, whose sum is σ = 76570583040. Its totient is φ = 5175705600.

The previous prime is 20380025951. The next prime is 20380026019. The reversal of 20380025952 is 25952008302.

20380025952 is a `hidden beast` number, since 20 + 380 + 0 + 259 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20380025951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65111748 + ... + 65112060.

It is an arithmetic number, because the mean of its divisors is an integer number (99701280).

Almost surely, 2^20380025952 is an apocalyptic number.

20380025952 is a gapful number since it is divisible by the number (22) 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 20380025952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38285291520).

20380025952 is an abundant number, since it is smaller than the sum of its proper divisors (56190557088).

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

20380025952 is a wasteful number, since it uses less digits than its factorization.

20380025952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20380025952 in words is "twenty billion, three hundred eighty million, twenty-five thousand, nine hundred fifty-two".