538089926879232 has 4608 divisors, whose sum is σ = 2156928883200000. Its totient is φ = 127931594047488.

The previous prime is 538089926879129. The next prime is 538089926879237. The reversal of 538089926879232 is 232978629980835.

538089926879232 is a `hidden beast` number, since 5 + 38 + 0 + 8 + 99 + 268 + 7 + 9 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is not an unprimeable number, because it can be changed into a prime (538089926879237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3871150553019 + ... + 3871150553157.

It is an arithmetic number, because the mean of its divisors is an integer number (468083525000).

Almost surely, 2^{538089926879232} is an apocalyptic number.

538089926879232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538089926879232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078464441600000).

538089926879232 is an abundant number, since it is smaller than the sum of its proper divisors (1618838956320768).

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

538089926879232 is a wasteful number, since it uses less digits than its factorization.

538089926879232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 538089926879232 in words is "five hundred thirty-eight trillion, eighty-nine billion, nine hundred twenty-six million, eight hundred seventy-nine thousand, two hundred thirty-two".