53005680 has 240 divisors, whose sum is σ = 219360960. Its totient is φ = 11169792.

The previous prime is 53005679. The next prime is 53005717. The reversal of 53005680 is 8650035.

53005680 is a `hidden beast` number, since 530 + 0 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×53005680² = 5619204224524800, 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 47 ways as a sum of consecutive naturals, for example, 65116 + ... + 65924.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^53005680 is an apocalyptic number.

It is a pronic number, being equal to 7280×7281.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

53005680 is an abundant number, since it is smaller than the sum of its proper divisors (166355280).

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

53005680 is a wasteful number, since it uses less digits than its factorization.

53005680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53005680 is about 7280.4999828308. The cubic root of 53005680 is about 375.6419936240.

The spelling of 53005680 in words is "fifty-three million, five thousand, six hundred eighty".