53809056 has 288 divisors, whose sum is σ = 193052160. Its totient is φ = 14515200.

The previous prime is 53809043. The next prime is 53809061. The reversal of 53809056 is 65090835.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×53809056² = 5790829015222272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53809056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312396 + ... + 1312436.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^53809056 is an apocalyptic number.

53809056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

53809056 is an abundant number, since it is smaller than the sum of its proper divisors (139243104).

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

53809056 is a wasteful number, since it uses less digits than its factorization.

53809056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 53809056 is about 7335.4656293926. The cubic root of 53809056 is about 377.5302807457.

The spelling of 53809056 in words is "fifty-three million, eight hundred nine thousand, fifty-six".