53629279506432 has 936 divisors, whose sum is σ = 186409378321920. Its totient is φ = 14796926484480.

The previous prime is 53629279506379. The next prime is 53629279506433. The reversal of 53629279506432 is 23460597292635.

It is a happy number.

53629279506432 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 92 + 7 + 9 + 506 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 53629279506432.

It is not an unprimeable number, because it can be changed into a prime (53629279506433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41605336444 + ... + 41605337732.

It is an arithmetic number, because the mean of its divisors is an integer number (199155318720).

Almost surely, 2^{53629279506432} 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 53629279506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93204689160960).

53629279506432 is an abundant number, since it is smaller than the sum of its proper divisors (132780098815488).

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

53629279506432 is a wasteful number, since it uses less digits than its factorization.

53629279506432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 53629279506432 in words is "fifty-three trillion, six hundred twenty-nine billion, two hundred seventy-nine million, five hundred six thousand, four hundred thirty-two".