56516005616100 has 144 divisors (see below), whose sum is σ = 165832329801600. Its totient is φ = 14857808537600.

The previous prime is 56516005616093. The next prime is 56516005616111. The reversal of 56516005616100 is 161650061565.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422802076 + ... + 422935724.

It is an arithmetic number, because the mean of its divisors is an integer number (1151613401400).

Almost surely, 2^{56516005616100} is an apocalyptic number.

56516005616100 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 56516005616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82916164900800).

56516005616100 is an abundant number, since it is smaller than the sum of its proper divisors (109316324185500).

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

56516005616100 is a wasteful number, since it uses less digits than its factorization.

56516005616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153590 (or 153583 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

Adding to 56516005616100 its reverse (161650061565), we get a palindrome (56677655677665).

The spelling of 56516005616100 in words is "fifty-six trillion, five hundred sixteen billion, five million, six hundred sixteen thousand, one hundred".