538583040000 has 680 divisors, whose sum is σ = 1998193123520. Its totient is φ = 143327232000.

The previous prime is 538583039989. The next prime is 538583040001. The reversal of 538583040000 is 40385835.

538583040000 is a `hidden beast` number, since 5 + 38 + 583 + 0 + 40 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538583040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1105919757 + ... + 1105920243.

Almost surely, 2^538583040000 is an apocalyptic number.

538583040000 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 538583040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999096561760).

538583040000 is an abundant number, since it is smaller than the sum of its proper divisors (1459610083520).

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

538583040000 is an frugal number, since it uses more digits than its factorization.

538583040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 538583040000 in words is "five hundred thirty-eight billion, five hundred eighty-three million, forty thousand".