51225162912 has 576 divisors, whose sum is σ = 196189257600. Its totient is φ = 12843048960.

The previous prime is 51225162881. The next prime is 51225162917. The reversal of 51225162912 is 21926152215.

51225162912 is a `hidden beast` number, since 5 + 1 + 2 + 25 + 1 + 629 + 1 + 2 = 666.

51225162912 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 not an unprimeable number, because it can be changed into a prime (51225162917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13503288 + ... + 13507080.

It is an arithmetic number, because the mean of its divisors is an integer number (340606350).

Almost surely, 2^51225162912 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 51225162912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98094628800).

51225162912 is an abundant number, since it is smaller than the sum of its proper divisors (144964094688).

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

51225162912 is a wasteful number, since it uses less digits than its factorization.

51225162912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3845 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 51225162912 in words is "fifty-one billion, two hundred twenty-five million, one hundred sixty-two thousand, nine hundred twelve".