51734166644160 has 1792 divisors, whose sum is σ = 248072477184000. Its totient is φ = 9922902589440.

The previous prime is 51734166644113. The next prime is 51734166644183. The reversal of 51734166644160 is 6144666143715.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51734166644097 and 51734166644106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 700502916 + ... + 700576764.

It is an arithmetic number, because the mean of its divisors is an integer number (138433302000).

Almost surely, 2^{51734166644160} 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 51734166644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124036238592000).

51734166644160 is an abundant number, since it is smaller than the sum of its proper divisors (196338310539840).

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

51734166644160 is a wasteful number, since it uses less digits than its factorization.

51734166644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73918 (or 73890 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 51734166644160 in words is "fifty-one trillion, seven hundred thirty-four billion, one hundred sixty-six million, six hundred forty-four thousand, one hundred sixty".