51267465216 has 832 divisors, whose sum is σ = 182870300160. Its totient is φ = 14014218240.

The previous prime is 51267465211. The next prime is 51267465229. The reversal of 51267465216 is 61256476215.

51267465216 is a `hidden beast` number, since 51 + 2 + 6 + 74 + 6 + 521 + 6 = 666.

51267465216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51267465211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765186015 + ... + 765186081.

Almost surely, 2^51267465216 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 51267465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91435150080).

51267465216 is an abundant number, since it is smaller than the sum of its proper divisors (131602834944).

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

51267465216 is a wasteful number, since it uses less digits than its factorization.

51267465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 51267465216 in words is "fifty-one billion, two hundred sixty-seven million, four hundred sixty-five thousand, two hundred sixteen".