51000768 has 252 divisors, whose sum is σ = 184449720. Its totient is φ = 13353984.

The previous prime is 51000751. The next prime is 51000841. The reversal of 51000768 is 86700015.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366843 + ... + 366981.

Almost surely, 2^51000768 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 51000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92224860).

51000768 is an abundant number, since it is smaller than the sum of its proper divisors (133448952).

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

51000768 is a wasteful number, since it uses less digits than its factorization.

51000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51000768 is about 7141.4821990956. The cubic root of 51000768 is about 370.8448384036.

The spelling of 51000768 in words is "fifty-one million, seven hundred sixty-eight", and thus it is an aban number.