538095467520 has 2112 divisors, whose sum is σ = 2343334855680. Its totient is φ = 116955021312.

The previous prime is 538095467423. The next prime is 538095467551. The reversal of 538095467520 is 25764590835.

538095467520 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 9 + 54 + 67 + 520 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 5224227789 + ... + 5224227891.

Almost surely, 2^538095467520 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 538095467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171667427840).

538095467520 is an abundant number, since it is smaller than the sum of its proper divisors (1805239388160).

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

538095467520 is a wasteful number, since it uses less digits than its factorization.

538095467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 538095467520 in words is "five hundred thirty-eight billion, ninety-five million, four hundred sixty-seven thousand, five hundred twenty".