56101077120 has 256 divisors, whose sum is σ = 206555287680. Its totient is φ = 12800163840.

The previous prime is 56101077089. The next prime is 56101077121. The reversal of 56101077120 is 2177010165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56101077121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 280914 + ... + 437166.

Almost surely, 2^56101077120 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 56101077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103277643840).

56101077120 is an abundant number, since it is smaller than the sum of its proper divisors (150454210560).

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

56101077120 is a wasteful number, since it uses less digits than its factorization.

56101077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156303 (or 156291 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

Adding to 56101077120 its reverse (2177010165), we get a palindrome (58278087285).

The spelling of 56101077120 in words is "fifty-six billion, one hundred one million, seventy-seven thousand, one hundred twenty".