51955680 has 216 divisors, whose sum is σ = 194517288. Its totient is φ = 11622912.

The previous prime is 51955667. The next prime is 51955691. The reversal of 51955680 is 8655915.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1105417 + ... + 1105463.

It is an arithmetic number, because the mean of its divisors is an integer number (900543).

Almost surely, 2^51955680 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 51955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97258644).

51955680 is an abundant number, since it is smaller than the sum of its proper divisors (142561608).

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

51955680 is a wasteful number, since it uses less digits than its factorization.

51955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 51955680 is about 7208.0288567680. The cubic root of 51955680 is about 373.1450439417.

The spelling of 51955680 in words is "fifty-one million, nine hundred fifty-five thousand, six hundred eighty".