51122880 has 224 divisors, whose sum is σ = 185196480. Its totient is φ = 13271040.

The previous prime is 51122873. The next prime is 51122891. The reversal of 51122880 is 8822115.

It is a super-2 number, since 2×51122880² = 5227097718988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526992 + ... + 527088.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 2^51122880 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 51122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92598240).

51122880 is an abundant number, since it is smaller than the sum of its proper divisors (134073600).

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

51122880 is a wasteful number, since it uses less digits than its factorization.

51122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 51122880 is about 7150.0265733772. The cubic root of 51122880 is about 371.1405758521.

Adding to 51122880 its reverse (8822115), we get a palindrome (59944995).

The spelling of 51122880 in words is "fifty-one million, one hundred twenty-two thousand, eight hundred eighty".