51957360 has 360 divisors, whose sum is σ = 219477024. Its totient is φ = 10782720.

The previous prime is 51957359. The next prime is 51957383. The reversal of 51957360 is 6375915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 851730 + ... + 851790.

Almost surely, 2^51957360 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 51957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109738512).

51957360 is an abundant number, since it is smaller than the sum of its proper divisors (167519664).

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

51957360 is a wasteful number, since it uses less digits than its factorization.

51957360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 51957360 is about 7208.1453925403. The cubic root of 51957360 is about 373.1490658114.

The spelling of 51957360 in words is "fifty-one million, nine hundred fifty-seven thousand, three hundred sixty".