51106474368 has 320 divisors, whose sum is σ = 157582656000. Its totient is φ = 16428883968.

The previous prime is 51106474273. The next prime is 51106474381. The reversal of 51106474368 is 86347460115.

51106474368 is a `hidden beast` number, since 5 + 110 + 6 + 474 + 3 + 68 = 666.

51106474368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51106474368² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48718708 + ... + 48719756.

It is an arithmetic number, because the mean of its divisors is an integer number (492445800).

Almost surely, 2^51106474368 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 51106474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78791328000).

51106474368 is an abundant number, since it is smaller than the sum of its proper divisors (106476181632).

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

51106474368 is a wasteful number, since it uses less digits than its factorization.

51106474368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51106474368 in words is "fifty-one billion, one hundred six million, four hundred seventy-four thousand, three hundred sixty-eight".