51036687360 has 1056 divisors, whose sum is σ = 206007459840. Its totient is φ = 12039487488.

The previous prime is 51036687337. The next prime is 51036687371. The reversal of 51036687360 is 6378663015.

51036687360 is a `hidden beast` number, since 510 + 3 + 6 + 6 + 8 + 73 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 401863617 + ... + 401863743.

Almost surely, 2^51036687360 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 51036687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103003729920).

51036687360 is an abundant number, since it is smaller than the sum of its proper divisors (154970772480).

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

51036687360 is a wasteful number, since it uses less digits than its factorization.

51036687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 51036687360 in words is "fifty-one billion, thirty-six million, six hundred eighty-seven thousand, three hundred sixty".