53506474560 has 2240 divisors, whose sum is σ = 267666094080. Its totient is φ = 9794027520.

The previous prime is 53506474559. The next prime is 53506474561. The reversal of 53506474560 is 6547460535.

53506474560 is a `hidden beast` number, since 5 + 3 + 506 + 47 + 45 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (53506474559) and next prime (53506474561).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53506474561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 644656279 + ... + 644656361.

It is an arithmetic number, because the mean of its divisors is an integer number (119493792).

Almost surely, 2^53506474560 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 53506474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133833047040).

53506474560 is an abundant number, since it is smaller than the sum of its proper divisors (214159619520).

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

53506474560 is a wasteful number, since it uses less digits than its factorization.

53506474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 53506474560 in words is "fifty-three billion, five hundred six million, four hundred seventy-four thousand, five hundred sixty".