51187680 has 288 divisors, whose sum is σ = 194957280. Its totient is φ = 12533760.

The previous prime is 51187679. The next prime is 51187681. The reversal of 51187680 is 8678115.

51187680 is a `hidden beast` number, since 511 + 87 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51187679) and next prime (51187681).

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

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 (51187681) 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, 1248460 + ... + 1248500.

It is an arithmetic number, because the mean of its divisors is an integer number (676935).

Almost surely, 2^51187680 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 51187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97478640).

51187680 is an abundant number, since it is smaller than the sum of its proper divisors (143769600).

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

51187680 is a wasteful number, since it uses less digits than its factorization.

51187680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 51187680 is about 7154.5565900341. The cubic root of 51187680 is about 371.2973207715.

The spelling of 51187680 in words is "fifty-one million, one hundred eighty-seven thousand, six hundred eighty".