56813352261120 has 960 divisors, whose sum is σ = 247319830517760. Its totient is φ = 11731930251264.

The previous prime is 56813352261119. The next prime is 56813352261131. The reversal of 56813352261120 is 2116225331865.

It is a happy number.

56813352261120 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 3 + 3 + 5 + 2 + 2 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×56813352261120² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98253811 + ... + 98830349.

It is an arithmetic number, because the mean of its divisors is an integer number (257624823456).

Almost surely, 2^{56813352261120} 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 56813352261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123659915258880).

56813352261120 is an abundant number, since it is smaller than the sum of its proper divisors (190506478256640).

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

56813352261120 is a wasteful number, since it uses less digits than its factorization.

56813352261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576635 (or 576616 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

Adding to 56813352261120 its reverse (2116225331865), we get a palindrome (58929577592985).

The spelling of 56813352261120 in words is "fifty-six trillion, eight hundred thirteen billion, three hundred fifty-two million, two hundred sixty-one thousand, one hundred twenty".