51367467191040 has 7776 divisors, whose sum is σ = 268640270877888. Its totient is φ = 8937956966400.

The previous prime is 51367467191039. The next prime is 51367467191069. The reversal of 51367467191040 is 4019176476315.

It is a happy number.

51367467191040 is a `hidden beast` number, since 5 + 1 + 3 + 67 + 467 + 19 + 104 + 0 = 666.

51367467191040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 618885146839 + ... + 618885146921.

It is an arithmetic number, because the mean of its divisors is an integer number (34547359938).

Almost surely, 2^{51367467191040} 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 51367467191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134320135438944).

51367467191040 is an abundant number, since it is smaller than the sum of its proper divisors (217272803686848).

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

51367467191040 is a wasteful number, since it uses less digits than its factorization.

51367467191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 51367467191040 in words is "fifty-one trillion, three hundred sixty-seven billion, four hundred sixty-seven million, one hundred ninety-one thousand, forty".