56050331166720 has 1728 divisors, whose sum is σ = 224301405182400. Its totient is φ = 13331582484480.

The previous prime is 56050331166679. The next prime is 56050331166881. The reversal of 56050331166720 is 2766113305065.

56050331166720 is a `hidden beast` number, since 5 + 6 + 0 + 503 + 3 + 11 + 66 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1057553418214 + ... + 1057553418266.

It is an arithmetic number, because the mean of its divisors is an integer number (129804053925).

Almost surely, 2^{56050331166720} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56050331166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112150702591200).

56050331166720 is an abundant number, since it is smaller than the sum of its proper divisors (168251074015680).

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

56050331166720 is an frugal number, since it uses more digits than its factorization.

56050331166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56050331166720 in words is "fifty-six trillion, fifty billion, three hundred thirty-one million, one hundred sixty-six thousand, seven hundred twenty".