51338085120 has 1728 divisors, whose sum is σ = 237847034880. Its totient is φ = 10319560704.

The previous prime is 51338085109. The next prime is 51338085121. The reversal of 51338085120 is 2158083315.

51338085120 is a `hidden beast` number, since 5 + 133 + 8 + 0 + 8 + 512 + 0 = 666.

51338085120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51338085121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 703261404 + ... + 703261476.

It is an arithmetic number, because the mean of its divisors is an integer number (137642960).

Almost surely, 2^51338085120 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 51338085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118923517440).

51338085120 is an abundant number, since it is smaller than the sum of its proper divisors (186508949760).

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

51338085120 is a wasteful number, since it uses less digits than its factorization.

51338085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 5133 and 8085120, that added together give a triangular number (8090253 = T₄₀₂₂).

The spelling of 51338085120 in words is "fifty-one billion, three hundred thirty-eight million, eighty-five thousand, one hundred twenty".