53639638416 has 1440 divisors, whose sum is σ = 222870735360. Its totient is φ = 11649318912.

The previous prime is 53639638363. The next prime is 53639638417. The reversal of 53639638416 is 61483693635.

53639638416 is a `hidden beast` number, since 53 + 63 + 96 + 38 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (53639638417) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1849642690 + ... + 1849642718.

It is an arithmetic number, because the mean of its divisors is an integer number (154771344).

Almost surely, 2^53639638416 is an apocalyptic number.

53639638416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53639638416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111435367680).

53639638416 is an abundant number, since it is smaller than the sum of its proper divisors (169231096944).

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

53639638416 is a wasteful number, since it uses less digits than its factorization.

53639638416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 53639638416 in words is "fifty-three billion, six hundred thirty-nine million, six hundred thirty-eight thousand, four hundred sixteen".