51993685624608 has 216 divisors, whose sum is σ = 185227505691228. Its totient is φ = 13712620336128.

The previous prime is 51993685624583. The next prime is 51993685624609. The reversal of 51993685624608 is 80642658639915.

It is a happy number.

51993685624608 is a `hidden beast` number, since 5 + 1 + 9 + 9 + 3 + 6 + 8 + 5 + 6 + 2 + 4 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51529254278544 + 464431346064 = 7178388^2 + 681492^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (51993685624609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141522691 + ... + 141889602.

Almost surely, 2^{51993685624608} is an apocalyptic number.

It is an amenable number.

51993685624608 is an abundant number, since it is smaller than the sum of its proper divisors (133233820066620).

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

51993685624608 is a wasteful number, since it uses less digits than its factorization.

51993685624608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283412336 (or 283412318 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 51993685624608 in words is "fifty-one trillion, nine hundred ninety-three billion, six hundred eighty-five million, six hundred twenty-four thousand, six hundred eight".