51101511566600 has 96 divisors (see below), whose sum is σ = 129619652025600. Its totient is φ = 18581273030400.

The previous prime is 51101511566579. The next prime is 51101511566603. The reversal of 51101511566600 is 666511510115.

It is a happy number.

It is a super-2 number, since 2×51101511566600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51101511566603) 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, 37140137 + ... + 38491463.

It is an arithmetic number, because the mean of its divisors is an integer number (1350204708600).

Almost surely, 2^{51101511566600} is an apocalyptic number.

51101511566600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51101511566600 is an abundant number, since it is smaller than the sum of its proper divisors (78518140459000).

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

51101511566600 is a wasteful number, since it uses less digits than its factorization.

51101511566600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368543 (or 1368534 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 51101511566600 in words is "fifty-one trillion, one hundred one billion, five hundred eleven million, five hundred sixty-six thousand, six hundred".