53641624104 has 144 divisors (see below), whose sum is σ = 150873313500. Its totient is φ = 17216790528.

The previous prime is 53641624103. The next prime is 53641624139. The reversal of 53641624104 is 40142614635.

53641624104 is a `hidden beast` number, since 5 + 3 + 641 + 6 + 2 + 4 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23015924100 + 30625700004 = 151710^2 + 175002^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53641624103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27186862 + ... + 27188834.

Almost surely, 2^53641624104 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 53641624104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75436656750).

53641624104 is an abundant number, since it is smaller than the sum of its proper divisors (97231689396).

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

53641624104 is a wasteful number, since it uses less digits than its factorization.

53641624104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53641624104 in words is "fifty-three billion, six hundred forty-one million, six hundred twenty-four thousand, one hundred four".