53632177684480 has 480 divisors, whose sum is σ = 145279126540800. Its totient is φ = 18885390630912.

The previous prime is 53632177684417. The next prime is 53632177684549. The reversal of 53632177684480 is 8448677123635.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2090339812 + ... + 2090365468.

It is an arithmetic number, because the mean of its divisors is an integer number (302664846960).

Almost surely, 2^{53632177684480} 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 53632177684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72639563270400).

53632177684480 is an abundant number, since it is smaller than the sum of its proper divisors (91646948856320).

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

53632177684480 is a wasteful number, since it uses less digits than its factorization.

53632177684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25805 (or 25779 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 64.

The spelling of 53632177684480 in words is "fifty-three trillion, six hundred thirty-two billion, one hundred seventy-seven million, six hundred eighty-four thousand, four hundred eighty".