51188768 has 48 divisors (see below), whose sum is σ = 108251640. Its totient is φ = 23740416.

The previous prime is 51188729. The next prime is 51188789. The reversal of 51188768 is 86788115.

It can be written as a sum of positive squares in 4 ways, for example, as 51093904 + 94864 = 7148^2 + 308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39068 + ... + 40356.

Almost surely, 2^51188768 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 51188768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54125820).

51188768 is an abundant number, since it is smaller than the sum of its proper divisors (57062872).

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

51188768 is a wasteful number, since it uses less digits than its factorization.

51188768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1381 counting only the distinct ones).

The product of its digits is 107520, while the sum is 44.

The square root of 51188768 is about 7154.6326250898. The cubic root of 51188768 is about 371.2999514085.

The spelling of 51188768 in words is "fifty-one million, one hundred eighty-eight thousand, seven hundred sixty-eight".