51567880 has 128 divisors (see below), whose sum is σ = 147732480. Its totient is φ = 15759360.

The previous prime is 51567871. The next prime is 51567907. The reversal of 51567880 is 8876515.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112612 + ... + 113068.

It is an arithmetic number, because the mean of its divisors is an integer number (1154160).

Almost surely, 2^51567880 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 51567880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73866240).

51567880 is an abundant number, since it is smaller than the sum of its proper divisors (96164600).

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

51567880 is a wasteful number, since it uses less digits than its factorization.

51567880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 51567880 is about 7181.0779135169. The cubic root of 51567880 is about 372.2143328773.

The spelling of 51567880 in words is "fifty-one million, five hundred sixty-seven thousand, eight hundred eighty".