53354329836480 has 1792 divisors, whose sum is σ = 205291431936000. Its totient is φ = 13175714119680.

The previous prime is 53354329836439. The next prime is 53354329836499. The reversal of 53354329836480 is 8463892345335.

It is a happy number.

53354329836480 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 4 + 32 + 98 + 36 + 480 = 666.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 86194393611 + ... + 86194394229.

Almost surely, 2^{53354329836480} 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 53354329836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102645715968000).

53354329836480 is an abundant number, since it is smaller than the sum of its proper divisors (151937102099520).

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

53354329836480 is a wasteful number, since it uses less digits than its factorization.

53354329836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 53354329836480 in words is "fifty-three trillion, three hundred fifty-four billion, three hundred twenty-nine million, eight hundred thirty-six thousand, four hundred eighty".