56211007411700 has 288 divisors, whose sum is σ = 132543516672000. Its totient is φ = 20624155200000.

The previous prime is 56211007411649. The next prime is 56211007411777. The reversal of 56211007411700 is 711470011265.

56211007411700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3339722285 + ... + 3339739115.

It is an arithmetic number, because the mean of its divisors is an integer number (460220544000).

Almost surely, 2^{56211007411700} is an apocalyptic number.

56211007411700 is a gapful number since it is divisible by the number (50) 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 56211007411700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66271758336000).

56211007411700 is an abundant number, since it is smaller than the sum of its proper divisors (76332509260300).

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

56211007411700 is a wasteful number, since it uses less digits than its factorization.

56211007411700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17311 (or 17304 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

Adding to 56211007411700 its reverse (711470011265), we get a palindrome (56922477422965).

The spelling of 56211007411700 in words is "fifty-six trillion, two hundred eleven billion, seven million, four hundred eleven thousand, seven hundred".