56005501005100 has 72 divisors (see below), whose sum is σ = 122642568342000. Its totient is φ = 22197589370880.

The previous prime is 56005501005089. The next prime is 56005501005101. The reversal of 56005501005100 is 150010550065.

It is a super-2 number, since 2×56005501005100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56005501005101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38830464 + ... + 40246936.

It is an arithmetic number, because the mean of its divisors is an integer number (1703369004750).

Almost surely, 2^{56005501005100} is an apocalyptic number.

56005501005100 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 56005501005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61321284171000).

56005501005100 is an abundant number, since it is smaller than the sum of its proper divisors (66637067336900).

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

56005501005100 is a wasteful number, since it uses less digits than its factorization.

56005501005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420099 (or 1420092 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

Adding to 56005501005100 its reverse (150010550065), we get a palindrome (56155511555165).

The spelling of 56005501005100 in words is "fifty-six trillion, five billion, five hundred one million, five thousand, one hundred".