538401486712320 has 11520 divisors, whose sum is σ = 2844602733772800. Its totient is φ = 94343717191680.

The previous prime is 538401486712291. The next prime is 538401486712321. The reversal of 538401486712320 is 23217684104835.

538401486712320 is a `hidden beast` number, since 5 + 38 + 4 + 0 + 1 + 486 + 7 + 123 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538401486712321) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 6049454906836 + ... + 6049454906924.

It is an arithmetic number, because the mean of its divisors is an integer number (246927320640).

Almost surely, 2^{538401486712320} 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 538401486712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422301366886400).

538401486712320 is an abundant number, since it is smaller than the sum of its proper divisors (2306201247060480).

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

538401486712320 is a wasteful number, since it uses less digits than its factorization.

538401486712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 538401486712320 in words is "five hundred thirty-eight trillion, four hundred one billion, four hundred eighty-six million, seven hundred twelve thousand, three hundred twenty".