51101122182660 has 288 divisors, whose sum is σ = 173047972091904. Its totient is φ = 12099868704000.

The previous prime is 51101122182631. The next prime is 51101122182673. The reversal of 51101122182660 is 6628122110115.

51101122182660 is a `hidden beast` number, since 511 + 0 + 1 + 1 + 2 + 2 + 1 + 82 + 6 + 60 = 666.

51101122182660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51101122182660² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45133275 + ... + 46251645.

It is an arithmetic number, because the mean of its divisors is an integer number (600861014208).

Almost surely, 2^{51101122182660} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51101122182660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86523986045952).

51101122182660 is an abundant number, since it is smaller than the sum of its proper divisors (121946849909244).

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

51101122182660 is a wasteful number, since it uses less digits than its factorization.

51101122182660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118935 (or 1118930 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 51101122182660 its reverse (6628122110115), we get a palindrome (57729244292775).

The spelling of 51101122182660 in words is "fifty-one trillion, one hundred one billion, one hundred twenty-two million, one hundred eighty-two thousand, six hundred sixty".