51415188610968 has 1152 divisors, whose sum is σ = 184353026457600. Its totient is φ = 12638616966144.

The previous prime is 51415188610967. The next prime is 51415188610991. The reversal of 51415188610968 is 86901688151415.

51415188610968 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 5 + 1 + 8 + 8 + 610 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51415188610963) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27837134221 + ... + 27837136067.

It is an arithmetic number, because the mean of its divisors is an integer number (160028668800).

Almost surely, 2^{51415188610968} 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 51415188610968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92176513228800).

51415188610968 is an abundant number, since it is smaller than the sum of its proper divisors (132937837846632).

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

51415188610968 is a wasteful number, since it uses less digits than its factorization.

51415188610968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 51415188610968 in words is "fifty-one trillion, four hundred fifteen billion, one hundred eighty-eight million, six hundred ten thousand, nine hundred sixty-eight".