52135453117440 has 4224 divisors, whose sum is σ = 242751342772224. Its totient is φ = 10032906240000.

The previous prime is 52135453117303. The next prime is 52135453117453. The reversal of 52135453117440 is 4471135453125.

52135453117440 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 5 + 4 + 531 + 1 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 345267901365 + ... + 345267901515.

It is an arithmetic number, because the mean of its divisors is an integer number (57469541376).

Almost surely, 2^{52135453117440} 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 52135453117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121375671386112).

52135453117440 is an abundant number, since it is smaller than the sum of its proper divisors (190615889654784).

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

52135453117440 is a wasteful number, since it uses less digits than its factorization.

52135453117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 52135453117440 in words is "fifty-two trillion, one hundred thirty-five billion, four hundred fifty-three million, one hundred seventeen thousand, four hundred forty".