51986147431680 has 3240 divisors, whose sum is σ = 250420090868640. Its totient is φ = 10231474176000.

The previous prime is 51986147431643. The next prime is 51986147431711. The reversal of 51986147431680 is 8613474168915.

51986147431680 is a `hidden beast` number, since 5 + 1 + 9 + 8 + 614 + 7 + 4 + 3 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11679653455 + ... + 11679657905.

Almost surely, 2^{51986147431680} 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 51986147431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125210045434320).

51986147431680 is an abundant number, since it is smaller than the sum of its proper divisors (198433943436960).

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

51986147431680 is a wasteful number, since it uses less digits than its factorization.

51986147431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 51986147431680 in words is "fifty-one trillion, nine hundred eighty-six billion, one hundred forty-seven million, four hundred thirty-one thousand, six hundred eighty".