51292725120 has 1280 divisors, whose sum is σ = 229904801280. Its totient is φ = 10610196480.

The previous prime is 51292725103. The next prime is 51292725131. The reversal of 51292725120 is 2152729215.

51292725120 is a `hidden beast` number, since 51 + 2 + 92 + 7 + 2 + 512 + 0 = 666.

51292725120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 391547455 + ... + 391547585.

It is an arithmetic number, because the mean of its divisors is an integer number (179613126).

Almost surely, 2^51292725120 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 51292725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114952400640).

51292725120 is an abundant number, since it is smaller than the sum of its proper divisors (178612076160).

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

51292725120 is a wasteful number, since it uses less digits than its factorization.

51292725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 51292725120 in words is "fifty-one billion, two hundred ninety-two million, seven hundred twenty-five thousand, one hundred twenty".