51302668032 has 1080 divisors, whose sum is σ = 202101301248. Its totient is φ = 12645642240.

The previous prime is 51302668031. The next prime is 51302668033. The reversal of 51302668032 is 23086620315.

It is a happy number.

51302668032 is a `hidden beast` number, since 513 + 0 + 2 + 66 + 80 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51302668031) and next prime (51302668033).

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 (51302668031) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 403957953 + ... + 403958079.

Almost surely, 2^51302668032 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 51302668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101050650624).

51302668032 is an abundant number, since it is smaller than the sum of its proper divisors (150798633216).

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

51302668032 is a wasteful number, since it uses less digits than its factorization.

51302668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 51302668032 in words is "fifty-one billion, three hundred two million, six hundred sixty-eight thousand, thirty-two".