51871680 has 336 divisors, whose sum is σ = 213018624. Its totient is φ = 11335680.

The previous prime is 51871667. The next prime is 51871697. The reversal of 51871680 is 8617815.

51871680 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (336).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624919 + ... + 625001.

It is an arithmetic number, because the mean of its divisors is an integer number (633984).

Almost surely, 2^51871680 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 51871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

51871680 is an abundant number, since it is smaller than the sum of its proper divisors (161146944).

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

51871680 is a wasteful number, since it uses less digits than its factorization.

51871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

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

The square root of 51871680 is about 7202.1996639916. The cubic root of 51871680 is about 372.9438398199.

The spelling of 51871680 in words is "fifty-one million, eight hundred seventy-one thousand, six hundred eighty".