51118080 has 152 divisors (see below), whose sum is σ = 176160432. Its totient is φ = 12582912.

The previous prime is 51118069. The next prime is 51118091. The reversal of 51118080 is 8081115.

It is an interprime number because it is at equal distance from previous prime (51118069) and next prime (51118091).

It is a super-2 number, since 2×51118080² = 5226116205772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 51118080.

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, 3932154 + ... + 3932166.

Almost surely, 2^51118080 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 51118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080216).

51118080 is an abundant number, since it is smaller than the sum of its proper divisors (125042352).

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

51118080 is an frugal number, since it uses more digits than its factorization.

51118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

The square root of 51118080 is about 7149.6909024097. The cubic root of 51118080 is about 371.1289598495.

Adding to 51118080 its reverse (8081115), we get a palindrome (59199195).

The spelling of 51118080 in words is "fifty-one million, one hundred eighteen thousand, eighty".