51919280 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 16321536.

The previous prime is 51919271. The next prime is 51919321. The reversal of 51919280 is 8291915.

It is a super-2 number, since 2×51919280² = 5391223271436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 51919280.

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, 373451 + ... + 373589.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^51919280 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 51919280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

51919280 is an abundant number, since it is smaller than the sum of its proper divisors (98071120).

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

51919280 is a wasteful number, since it uses less digits than its factorization.

51919280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 51919280 is about 7205.5034522232. The cubic root of 51919280 is about 373.0578821352.

The spelling of 51919280 in words is "fifty-one million, nine hundred nineteen thousand, two hundred eighty".