51135534120 has 192 divisors, whose sum is σ = 174436416000. Its totient is φ = 11968929280.

The previous prime is 51135534097. The next prime is 51135534181. The reversal of 51135534120 is 2143553115.

It is a super-2 number, since 2×51135534120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360361 + ... + 481799.

It is an arithmetic number, because the mean of its divisors is an integer number (908523000).

Almost surely, 2^51135534120 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 51135534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87218208000).

51135534120 is an abundant number, since it is smaller than the sum of its proper divisors (123300881880).

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

51135534120 is a wasteful number, since it uses less digits than its factorization.

51135534120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121504 (or 121489 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 51135534120 in words is "fifty-one billion, one hundred thirty-five million, five hundred thirty-four thousand, one hundred twenty".