51152145120 has 144 divisors (see below), whose sum is σ = 174675795840. Its totient is φ = 13631265792.

The previous prime is 51152145103. The next prime is 51152145127. The reversal of 51152145120 is 2154125115.

It is a happy number.

51152145120 is a `hidden beast` number, since 5 + 11 + 521 + 4 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51152145127) 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, 2245146 + ... + 2267814.

It is an arithmetic number, because the mean of its divisors is an integer number (1213026360).

Almost surely, 2^51152145120 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 51152145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87337897920).

51152145120 is an abundant number, since it is smaller than the sum of its proper divisors (123523650720).

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

51152145120 is a wasteful number, since it uses less digits than its factorization.

51152145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24257 (or 24246 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 51152145120 in words is "fifty-one billion, one hundred fifty-two million, one hundred forty-five thousand, one hundred twenty".