53585864640 has 336 divisors, whose sum is σ = 229793840640. Its totient is φ = 11134679040.

The previous prime is 53585864603. The next prime is 53585864653. The reversal of 53585864640 is 4646858535.

53585864640 is a `hidden beast` number, since 5 + 3 + 58 + 586 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 100941 + ... + 342579.

It is an arithmetic number, because the mean of its divisors is an integer number (683910240).

Almost surely, 2^53585864640 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 53585864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114896920320).

53585864640 is an abundant number, since it is smaller than the sum of its proper divisors (176207976000).

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

53585864640 is a wasteful number, since it uses less digits than its factorization.

53585864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241680 (or 241667 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 53585864640 in words is "fifty-three billion, five hundred eighty-five million, eight hundred sixty-four thousand, six hundred forty".