538090091280 has 2560 divisors, whose sum is σ = 2501325619200. Its totient is φ = 103464345600.

The previous prime is 538090091263. The next prime is 538090091291. The reversal of 538090091280 is 82190090835.

It is a happy number.

538090091280 is a `hidden beast` number, since 538 + 0 + 9 + 0 + 0 + 91 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7578733645 + ... + 7578733715.

It is an arithmetic number, because the mean of its divisors is an integer number (977080320).

Almost surely, 2^538090091280 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 538090091280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250662809600).

538090091280 is an abundant number, since it is smaller than the sum of its proper divisors (1963235527920).

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

538090091280 is a wasteful number, since it uses less digits than its factorization.

538090091280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 538090091280 in words is "five hundred thirty-eight billion, ninety million, ninety-one thousand, two hundred eighty".