538833310080 has 512 divisors, whose sum is σ = 1928137236480. Its totient is φ = 127092326400.

The previous prime is 538833310039. The next prime is 538833310087. The reversal of 538833310080 is 80013338835.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538833310087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79693900 + ... + 79700660.

It is an arithmetic number, because the mean of its divisors is an integer number (3765893040).

Almost surely, 2^538833310080 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 538833310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964068618240).

538833310080 is an abundant number, since it is smaller than the sum of its proper divisors (1389303926400).

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

538833310080 is a wasteful number, since it uses less digits than its factorization.

538833310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 538833310080 in words is "five hundred thirty-eight billion, eight hundred thirty-three million, three hundred ten thousand, eighty".