538360542720 has 2560 divisors, whose sum is σ = 2660949688320. Its totient is φ = 99532800000.

The previous prime is 538360542679. The next prime is 538360542739. The reversal of 538360542720 is 27245063835.

538360542720 is a `hidden beast` number, since 5 + 3 + 8 + 36 + 0 + 542 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2144862595 + ... + 2144862845.

It is an arithmetic number, because the mean of its divisors is an integer number (1039433472).

Almost surely, 2^538360542720 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 538360542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330474844160).

538360542720 is an abundant number, since it is smaller than the sum of its proper divisors (2122589145600).

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

538360542720 is a wasteful number, since it uses less digits than its factorization.

538360542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 538360542720 in words is "five hundred thirty-eight billion, three hundred sixty million, five hundred forty-two thousand, seven hundred twenty".