20385158976 has 448 divisors, whose sum is σ = 77651660800. Its totient is φ = 5092595712.

The previous prime is 20385158939. The next prime is 20385159037. The reversal of 20385158976 is 67985158302.

20385158976 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 51 + 589 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2984301 + ... + 2991123.

It is an arithmetic number, because the mean of its divisors is an integer number (173329600).

Almost surely, 2^20385158976 is an apocalyptic number.

20385158976 is a gapful number since it is divisible by the number (26) 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 20385158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38825830400).

20385158976 is an abundant number, since it is smaller than the sum of its proper divisors (57266501824).

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

20385158976 is a wasteful number, since it uses less digits than its factorization.

20385158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 20385158976 in words is "twenty billion, three hundred eighty-five million, one hundred fifty-eight thousand, nine hundred seventy-six".