51566106506100 has 72 divisors (see below), whose sum is σ = 155684801576640. Its totient is φ = 13153093831680.

The previous prime is 51566106506099. The next prime is 51566106506107. The reversal of 51566106506100 is 160560166515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51566106506107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3736667485 + ... + 3736681284.

Almost surely, 2^{51566106506100} is an apocalyptic number.

51566106506100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51566106506100 is an abundant number, since it is smaller than the sum of its proper divisors (104118695070540).

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

51566106506100 is a wasteful number, since it uses less digits than its factorization.

51566106506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473348809 (or 7473348802 counting only the distinct ones).

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

The spelling of 51566106506100 in words is "fifty-one trillion, five hundred sixty-six billion, one hundred six million, five hundred six thousand, one hundred".