53131680 has 288 divisors, whose sum is σ = 217183680. Its totient is φ = 12096000.

The previous prime is 53131669. The next prime is 53131693. The reversal of 53131680 is 8613135.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 211555 + ... + 211805.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 2^53131680 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 53131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

53131680 is an abundant number, since it is smaller than the sum of its proper divisors (164052000).

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

53131680 is a wasteful number, since it uses less digits than its factorization.

53131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53131680 is about 7289.1480983720. The cubic root of 53131680 is about 375.9394047515.

The spelling of 53131680 in words is "fifty-three million, one hundred thirty-one thousand, six hundred eighty".