53405305054344 has 256 divisors, whose sum is σ = 156643960320000. Its totient is φ = 16812151437312.

The previous prime is 53405305054327. The next prime is 53405305054351. The reversal of 53405305054344 is 44345050350435.

53405305054344 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 53 + 0 + 50 + 543 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53405305054344.

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 63 ways as a sum of consecutive naturals, for example, 7223762712 + ... + 7223770104.

It is an arithmetic number, because the mean of its divisors is an integer number (611890470000).

Almost surely, 2^{53405305054344} is an apocalyptic number.

53405305054344 is a gapful number since it is divisible by the number (54) 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 53405305054344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78321980160000).

53405305054344 is an abundant number, since it is smaller than the sum of its proper divisors (103238655265656).

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

53405305054344 is a wasteful number, since it uses less digits than its factorization.

53405305054344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12689 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 53405305054344 in words is "fifty-three trillion, four hundred five billion, three hundred five million, fifty-four thousand, three hundred forty-four".