52380238014720 has 2592 divisors, whose sum is σ = 241035631514496. Its totient is φ = 10768652697600.

The previous prime is 52380238014649. The next prime is 52380238014721. The reversal of 52380238014720 is 2741083208325.

52380238014720 is a `hidden beast` number, since 5 + 2 + 3 + 80 + 23 + 80 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is not an unprimeable number, because it can be changed into a prime (52380238014721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16262102710 + ... + 16262105930.

It is an arithmetic number, because the mean of its divisors is an integer number (92992141788).

Almost surely, 2^{52380238014720} 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 52380238014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120517815757248).

52380238014720 is an abundant number, since it is smaller than the sum of its proper divisors (188655393499776).

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

52380238014720 is a wasteful number, since it uses less digits than its factorization.

52380238014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 52380238014720 in words is "fifty-two trillion, three hundred eighty billion, two hundred thirty-eight million, fourteen thousand, seven hundred twenty".