538705782959520 has 1152 divisors, whose sum is σ = 1951875008262144. Its totient is φ = 123810266112000.

The previous prime is 538705782959473. The next prime is 538705782959537. The reversal of 538705782959520 is 25959287507835.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261127378009 + ... + 261127380071.

It is an arithmetic number, because the mean of its divisors is an integer number (1694335944672).

Almost surely, 2^{538705782959520} 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 538705782959520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975937504131072).

538705782959520 is an abundant number, since it is smaller than the sum of its proper divisors (1413169225302624).

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

538705782959520 is a wasteful number, since it uses less digits than its factorization.

538705782959520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 1905120000, while the sum is 75.

The spelling of 538705782959520 in words is "five hundred thirty-eight trillion, seven hundred five billion, seven hundred eighty-two million, nine hundred fifty-nine thousand, five hundred twenty".