51946659072 has 864 divisors, whose sum is σ = 203562777600. Its totient is φ = 12755128320.

The previous prime is 51946659029. The next prime is 51946659097. The reversal of 51946659072 is 27095664915.

51946659072 is a `hidden beast` number, since 5 + 1 + 9 + 46 + 6 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111234583 + ... + 111235049.

Almost surely, 2^51946659072 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 51946659072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101781388800).

51946659072 is an abundant number, since it is smaller than the sum of its proper divisors (151616118528).

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

51946659072 is a wasteful number, since it uses less digits than its factorization.

51946659072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 51946659072 in words is "fifty-one billion, nine hundred forty-six million, six hundred fifty-nine thousand, seventy-two".