20972605380480 has 1280 divisors, whose sum is σ = 85796291750400. Its totient is φ = 4836434116608.

The previous prime is 20972605380479. The next prime is 20972605380487. The reversal of 20972605380480 is 8408350627902.

20972605380480 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 2 + 60 + 538 + 0 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20972605380487) 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 159 ways as a sum of consecutive naturals, for example, 2554826616 + ... + 2554834824.

It is an arithmetic number, because the mean of its divisors is an integer number (67028352930).

Almost surely, 2^{20972605380480} is an apocalyptic number.

20972605380480 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 20972605380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42898145875200).

20972605380480 is an abundant number, since it is smaller than the sum of its proper divisors (64823686369920).

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

20972605380480 is a wasteful number, since it uses less digits than its factorization.

20972605380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8493 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 20972605380480 in words is "twenty trillion, nine hundred seventy-two billion, six hundred five million, three hundred eighty thousand, four hundred eighty".