51127680 has 128 divisors (see below), whose sum is σ = 168422400. Its totient is φ = 13178880.

The previous prime is 51127679. The next prime is 51127691. The reversal of 51127680 is 8672115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51127680² = 5228079324364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59091 + ... + 59949.

It is an arithmetic number, because the mean of its divisors is an integer number (1315800).

Almost surely, 2^51127680 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 51127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84211200).

51127680 is an abundant number, since it is smaller than the sum of its proper divisors (117294720).

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

51127680 is a wasteful number, since it uses less digits than its factorization.

51127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 51127680 is about 7150.3622285867. The cubic root of 51127680 is about 371.1521911277.

Adding to 51127680 its reverse (8672115), we get a palindrome (59799795).

The spelling of 51127680 in words is "fifty-one million, one hundred twenty-seven thousand, six hundred eighty".