51437579760 has 480 divisors, whose sum is σ = 208413803520. Its totient is φ = 11106201600.

The previous prime is 51437579747. The next prime is 51437579771. The reversal of 51437579760 is 6797573415.

51437579760 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 7 + 579 + 7 + 60 = 666.

It is a super-2 number, since 2×51437579760² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51437579697 and 51437579706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49890445 + ... + 49891475.

It is an arithmetic number, because the mean of its divisors is an integer number (434195424).

Almost surely, 2^51437579760 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 51437579760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104206901760).

51437579760 is an abundant number, since it is smaller than the sum of its proper divisors (156976223760).

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

51437579760 is a wasteful number, since it uses less digits than its factorization.

51437579760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 51437579760 in words is "fifty-one billion, four hundred thirty-seven million, five hundred seventy-nine thousand, seven hundred sixty".