53059968 has 128 divisors (see below), whose sum is σ = 168789600. Its totient is φ = 16312320.

The previous prime is 53059957. The next prime is 53059973. The reversal of 53059968 is 86995035.

53059968 is a `hidden beast` number, since 53 + 0 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53059968² = 5630720408322048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44338 + ... + 45518.

Almost surely, 2^53059968 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 53059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84394800).

53059968 is an abundant number, since it is smaller than the sum of its proper divisors (115729632).

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

53059968 is a wasteful number, since it uses less digits than its factorization.

53059968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 53059968 is about 7284.2273440633. The cubic root of 53059968 is about 375.7701930574.

The spelling of 53059968 in words is "fifty-three million, fifty-nine thousand, nine hundred sixty-eight".