20420974080 has 480 divisors, whose sum is σ = 78823704960. Its totient is φ = 4851302400.

The previous prime is 20420974043. The next prime is 20420974081. The reversal of 20420974080 is 8047902402.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (20420974081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8684905 + ... + 8687255.

It is an arithmetic number, because the mean of its divisors is an integer number (164216052).

Almost surely, 2^20420974080 is an apocalyptic number.

20420974080 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 20420974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39411852480).

20420974080 is an abundant number, since it is smaller than the sum of its proper divisors (58402730880).

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

20420974080 is a wasteful number, since it uses less digits than its factorization.

20420974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2403 counting only the distinct ones).

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

The spelling of 20420974080 in words is "twenty billion, four hundred twenty million, nine hundred seventy-four thousand, eighty".