51842880 has 168 divisors, whose sum is σ = 182587392. Its totient is φ = 13495296.

The previous prime is 51842867. The next prime is 51842893. The reversal of 51842880 is 8824815.

It is an interprime number because it is at equal distance from previous prime (51842867) and next prime (51842893).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135169 + ... + 135551.

Almost surely, 2^51842880 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 51842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91293696).

51842880 is an abundant number, since it is smaller than the sum of its proper divisors (130744512).

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

51842880 is a wasteful number, since it uses less digits than its factorization.

51842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 51842880 is about 7200.1999972223. The cubic root of 51842880 is about 372.8748055477.

The spelling of 51842880 in words is "fifty-one million, eight hundred forty-two thousand, eight hundred eighty".