20979480755520 has 672 divisors, whose sum is σ = 89063189107200. Its totient is φ = 4629951664128.

The previous prime is 20979480755509. The next prime is 20979480755557. The reversal of 20979480755520 is 2555708497902.

20979480755520 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 9 + 4 + 8 + 0 + 75 + 552 + 0 = 666.

20979480755520 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×20979480755520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11423049 + ... + 13131831.

It is an arithmetic number, because the mean of its divisors is an integer number (132534507600).

Almost surely, 2^{20979480755520} is an apocalyptic number.

20979480755520 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 20979480755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44531594553600).

20979480755520 is an abundant number, since it is smaller than the sum of its proper divisors (68083708351680).

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

20979480755520 is a wasteful number, since it uses less digits than its factorization.

20979480755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708852 (or 1708829 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 20979480755520 in words is "twenty trillion, nine hundred seventy-nine billion, four hundred eighty million, seven hundred fifty-five thousand, five hundred twenty".