51431017680 has 240 divisors, whose sum is σ = 201122663040. Its totient is φ = 11533796352.

The previous prime is 51431017679. The next prime is 51431017681. The reversal of 51431017680 is 8671013415.

51431017680 is a `hidden beast` number, since 51 + 431 + 0 + 176 + 8 + 0 = 666.

51431017680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51431017679) and next prime (51431017681).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51431017681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170851 + ... + 363389.

It is an arithmetic number, because the mean of its divisors is an integer number (838011096).

Almost surely, 2^51431017680 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 51431017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100561331520).

51431017680 is an abundant number, since it is smaller than the sum of its proper divisors (149691645360).

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

51431017680 is a wasteful number, since it uses less digits than its factorization.

51431017680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192618 (or 192609 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51431017680 in words is "fifty-one billion, four hundred thirty-one million, seventeen thousand, six hundred eighty".