51780168 has 256 divisors, whose sum is σ = 175104000. Its totient is φ = 13996800.

The previous prime is 51780143. The next prime is 51780173. The reversal of 51780168 is 86108715.

51780168 is a `hidden beast` number, since 517 + 80 + 1 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1399446 + ... + 1399482.

It is an arithmetic number, because the mean of its divisors is an integer number (684000).

Almost surely, 2^51780168 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 51780168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87552000).

51780168 is an abundant number, since it is smaller than the sum of its proper divisors (123323832).

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

51780168 is a wasteful number, since it uses less digits than its factorization.

51780168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 51780168 is about 7195.8438004170. The cubic root of 51780168 is about 372.7243949231.

The spelling of 51780168 in words is "fifty-one million, seven hundred eighty thousand, one hundred sixty-eight".