541262128512 has 1536 divisors, whose sum is σ = 2004295104000. Its totient is φ = 127975292928.

The previous prime is 541262128441. The next prime is 541262128579. The reversal of 541262128512 is 215821262145.

It is a super-2 number, since 2×541262128512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6521230423 + ... + 6521230505.

It is an arithmetic number, because the mean of its divisors is an integer number (1304879625).

Almost surely, 2^541262128512 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 541262128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002147552000).

541262128512 is an abundant number, since it is smaller than the sum of its proper divisors (1463032975488).

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

541262128512 is a wasteful number, since it uses less digits than its factorization.

541262128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The spelling of 541262128512 in words is "five hundred forty-one billion, two hundred sixty-two million, one hundred twenty-eight thousand, five hundred twelve".