53578255633920 has 480 divisors, whose sum is σ = 186081957135360. Its totient is φ = 14247144898560.

The previous prime is 53578255633919. The next prime is 53578255633937. The reversal of 53578255633920 is 2933655287535.

It is a happy number.

53578255633920 is a `hidden beast` number, since 5 + 3 + 5 + 78 + 2 + 556 + 3 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 15105229587 + ... + 15105233133.

It is an arithmetic number, because the mean of its divisors is an integer number (387670744032).

Almost surely, 2^{53578255633920} 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 53578255633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93040978567680).

53578255633920 is an abundant number, since it is smaller than the sum of its proper divisors (132503701501440).

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

53578255633920 is a wasteful number, since it uses less digits than its factorization.

53578255633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 63.

The spelling of 53578255633920 in words is "fifty-three trillion, five hundred seventy-eight billion, two hundred fifty-five million, six hundred thirty-three thousand, nine hundred twenty".