51778960 has 60 divisors (see below), whose sum is σ = 123421788. Its totient is φ = 20201728.

The previous prime is 51778943. The next prime is 51778967. The reversal of 51778960 is 6987715.

It can be written as a sum of positive squares in 2 ways, for example, as 36192256 + 15586704 = 6016^2 + 3948^2 .

It is not an unprimeable number, because it can be changed into a prime (51778967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176574 + ... + 176866.

Almost surely, 2^51778960 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 51778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61710894).

51778960 is an abundant number, since it is smaller than the sum of its proper divisors (71642828).

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

51778960 is a wasteful number, since it uses less digits than its factorization.

51778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 51778960 is about 7195.7598625857. The cubic root of 51778960 is about 372.7214964223.

The spelling of 51778960 in words is "fifty-one million, seven hundred seventy-eight thousand, nine hundred sixty".