56111111100 has 288 divisors, whose sum is σ = 203574470400. Its totient is φ = 13133433600.

The previous prime is 56111111099. The next prime is 56111111101. The reversal of 56111111100 is 111111165.

It is a happy number.

56111111100 is a `hidden beast` number, since 561 + 1 + 1 + 1 + 1 + 1 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (56111111099) and next prime (56111111101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56111111101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828727 + ... + 893873.

It is an arithmetic number, because the mean of its divisors is an integer number (706855800).

Almost surely, 2^56111111100 is an apocalyptic number.

56111111100 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 56111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787235200).

56111111100 is an abundant number, since it is smaller than the sum of its proper divisors (147463359300).

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

56111111100 is a wasteful number, since it uses less digits than its factorization.

56111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65210 (or 65197 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 56111111100 its reverse (111111165), we get a palindrome (56222222265).

The spelling of 56111111100 in words is "fifty-six billion, one hundred eleven million, one hundred eleven thousand, one hundred".