51007680 has 168 divisors, whose sum is σ = 178308000. Its totient is φ = 13381632.

The previous prime is 51007673. The next prime is 51007681. The reversal of 51007680 is 8670015.

51007680 is a `hidden beast` number, since 510 + 0 + 76 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (51007681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256221 + ... + 256419.

Almost surely, 2^51007680 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 51007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154000).

51007680 is an abundant number, since it is smaller than the sum of its proper divisors (127300320).

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

51007680 is a wasteful number, since it uses less digits than its factorization.

51007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51007680 is about 7141.9661158535. The cubic root of 51007680 is about 370.8615908555.

Adding to 51007680 its reverse (8670015), we get a palindrome (59677695).

The spelling of 51007680 in words is "fifty-one million, seven thousand, six hundred eighty".