538890088320 has 1024 divisors, whose sum is σ = 2154835353600. Its totient is φ = 126543200256.

The previous prime is 538890088307. The next prime is 538890088379. The reversal of 538890088320 is 23880098835.

538890088320 is a `hidden beast` number, since 538 + 8 + 9 + 0 + 0 + 8 + 83 + 20 = 666.

538890088320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317553712 + ... + 317555408.

It is an arithmetic number, because the mean of its divisors is an integer number (2104331400).

Almost surely, 2^538890088320 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 538890088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077417676800).

538890088320 is an abundant number, since it is smaller than the sum of its proper divisors (1615945265280).

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

538890088320 is a wasteful number, since it uses less digits than its factorization.

538890088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 538890088320 in words is "five hundred thirty-eight billion, eight hundred ninety million, eighty-eight thousand, three hundred twenty".