51779520 has 224 divisors, whose sum is σ = 197144640. Its totient is φ = 12718080.

The previous prime is 51779489. The next prime is 51779599. The reversal of 51779520 is 2597715.

It is a super-2 number, since 2×51779520² = 5362237382860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 112090 + ... + 112550.

It is an arithmetic number, because the mean of its divisors is an integer number (880110).

Almost surely, 2^51779520 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 51779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98572320).

51779520 is an abundant number, since it is smaller than the sum of its proper divisors (145365120).

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

51779520 is a wasteful number, since it uses less digits than its factorization.

51779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 51779520 is about 7195.7987742849. The cubic root of 51779520 is about 372.7228401038.

The spelling of 51779520 in words is "fifty-one million, seven hundred seventy-nine thousand, five hundred twenty".