53621436960 has 720 divisors, whose sum is σ = 230080929624. Its totient is φ = 11304050688.

The previous prime is 53621436937. The next prime is 53621436971. The reversal of 53621436960 is 6963412635.

53621436960 is a `hidden beast` number, since 536 + 21 + 4 + 3 + 6 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33872193936 + 19749243024 = 184044^2 + 140532^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×53621436960³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44946124 + ... + 44947316.

Almost surely, 2^53621436960 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 53621436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115040464812).

53621436960 is an abundant number, since it is smaller than the sum of its proper divisors (176459492664).

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

53621436960 is a wasteful number, since it uses less digits than its factorization.

53621436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 53621436960 in words is "fifty-three billion, six hundred twenty-one million, four hundred thirty-six thousand, nine hundred sixty".