20960152012800 has 6912 divisors, whose sum is σ = 111643029388800. Its totient is φ = 3783838924800.

The previous prime is 20960152012799. The next prime is 20960152012861. The reversal of 20960152012800 is 821025106902.

20960152012800 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 0 + 1 + 520 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 1232950118392 + ... + 1232950118408.

It is an arithmetic number, because the mean of its divisors is an integer number (16152058650).

Almost surely, 2^{20960152012800} is an apocalyptic number.

20960152012800 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 20960152012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55821514694400).

20960152012800 is an abundant number, since it is smaller than the sum of its proper divisors (90682877376000).

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

20960152012800 is a wasteful number, since it uses less digits than its factorization.

20960152012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 20960152012800 in words is "twenty trillion, nine hundred sixty billion, one hundred fifty-two million, twelve thousand, eight hundred".