51114960 has 240 divisors, whose sum is σ = 190654464. Its totient is φ = 12192768.

The previous prime is 51114923. The next prime is 51114979. The reversal of 51114960 is 6941115.

51114960 is a `hidden beast` number, since 511 + 149 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51114960² = 5225478271603200, which contains 22 as substring.

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, 402417 + ... + 402543.

Almost surely, 2^51114960 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 51114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95327232).

51114960 is an abundant number, since it is smaller than the sum of its proper divisors (139539504).

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

51114960 is a wasteful number, since it uses less digits than its factorization.

51114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 51114960 is about 7149.4727078296. The cubic root of 51114960 is about 371.1214090579.

The spelling of 51114960 in words is "fifty-one million, one hundred fourteen thousand, nine hundred sixty".