51856155120 has 960 divisors, whose sum is σ = 220575882240. Its totient is φ = 9934848000.

The previous prime is 51856155101. The next prime is 51856155167. The reversal of 51856155120 is 2155165815.

It is a super-3 number, since 3×51856155120³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86282820 + ... + 86283420.

It is an arithmetic number, because the mean of its divisors is an integer number (229766544).

Almost surely, 2^51856155120 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 51856155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110287941120).

51856155120 is an abundant number, since it is smaller than the sum of its proper divisors (168719727120).

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

51856155120 is a wasteful number, since it uses less digits than its factorization.

51856155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 39.

The spelling of 51856155120 in words is "fifty-one billion, eight hundred fifty-six million, one hundred fifty-five thousand, one hundred twenty".