538048080000 has 960 divisors, whose sum is σ = 2093581089600. Its totient is φ = 132129792000.

The previous prime is 538048079977. The next prime is 538048080041. The reversal of 538048080000 is 80840835.

538048080000 is a `hidden beast` number, since 538 + 0 + 48 + 0 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 506159469 + ... + 506160531.

It is an arithmetic number, because the mean of its divisors is an integer number (2180813635).

Almost surely, 2^538048080000 is an apocalyptic number.

538048080000 is a gapful number since it is divisible by the number (50) 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 538048080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046790544800).

538048080000 is an abundant number, since it is smaller than the sum of its proper divisors (1555533009600).

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

538048080000 is a wasteful number, since it uses less digits than its factorization.

538048080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 538048080000 in words is "five hundred thirty-eight billion, forty-eight million, eighty thousand".