51982560 has 288 divisors, whose sum is σ = 211341312. Its totient is φ = 11819520.

The previous prime is 51982531. The next prime is 51982561. The reversal of 51982560 is 6528915.

It is a happy number.

51982560 is a `hidden beast` number, since 5 + 1 + 98 + 2 + 560 = 666.

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 (51982561) 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, 272065 + ... + 272255.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^51982560 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 51982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

51982560 is an abundant number, since it is smaller than the sum of its proper divisors (159358752).

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

51982560 is a wasteful number, since it uses less digits than its factorization.

51982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51982560 is about 7209.8932030925. The cubic root of 51982560 is about 373.2093834553.

The spelling of 51982560 in words is "fifty-one million, nine hundred eighty-two thousand, five hundred sixty".