51693310368 has 288 divisors, whose sum is σ = 174059383680. Its totient is φ = 14245355520.

The previous prime is 51693310363. The next prime is 51693310391. The reversal of 51693310368 is 86301339615.

51693310368 is a `hidden beast` number, since 516 + 93 + 3 + 10 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×51693310368³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51693310363) 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, 7352871 + ... + 7359897.

It is an arithmetic number, because the mean of its divisors is an integer number (604372860).

Almost surely, 2^51693310368 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 51693310368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87029691840).

51693310368 is an abundant number, since it is smaller than the sum of its proper divisors (122366073312).

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

51693310368 is a wasteful number, since it uses less digits than its factorization.

51693310368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7180 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 51693310368 in words is "fifty-one billion, six hundred ninety-three million, three hundred ten thousand, three hundred sixty-eight".