20476549416960 has 4608 divisors, whose sum is σ = 98660464680960. Its totient is φ = 3805072588800.

The previous prime is 20476549416923. The next prime is 20476549416989. The reversal of 20476549416960 is 6961494567402.

It is a happy number.

20476549416960 is a `hidden beast` number, since 2 + 0 + 4 + 76 + 5 + 494 + 16 + 9 + 60 = 666.

20476549416960 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 (4608).

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

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 383 ways as a sum of consecutive naturals, for example, 181208401864 + ... + 181208401976.

It is an arithmetic number, because the mean of its divisors is an integer number (21410691120).

Almost surely, 2^{20476549416960} is an apocalyptic number.

20476549416960 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 20476549416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49330232340480).

20476549416960 is an abundant number, since it is smaller than the sum of its proper divisors (78183915264000).

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

20476549416960 is a wasteful number, since it uses less digits than its factorization.

20476549416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 20476549416960 in words is "twenty trillion, four hundred seventy-six billion, five hundred forty-nine million, four hundred sixteen thousand, nine hundred sixty".