53013453373440 has 1536 divisors, whose sum is σ = 217604955709440. Its totient is φ = 11686329188352.

The previous prime is 53013453373343. The next prime is 53013453373451. The reversal of 53013453373440 is 4437335431035.

It is a happy number.

53013453373440 is a `hidden beast` number, since 5 + 3 + 0 + 1 + 3 + 4 + 533 + 73 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48502701534 + ... + 48502702626.

It is an arithmetic number, because the mean of its divisors is an integer number (141669893040).

Almost surely, 2^{53013453373440} 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 53013453373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108802477854720).

53013453373440 is an abundant number, since it is smaller than the sum of its proper divisors (164591502336000).

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

53013453373440 is a wasteful number, since it uses less digits than its factorization.

53013453373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 45.

The spelling of 53013453373440 in words is "fifty-three trillion, thirteen billion, four hundred fifty-three million, three hundred seventy-three thousand, four hundred forty".