541965917088 has 504 divisors, whose sum is σ = 1789265308320. Its totient is φ = 161041582080.

The previous prime is 541965917039. The next prime is 541965917111. The reversal of 541965917088 is 880719569145.

541965917088 is a `hidden beast` number, since 5 + 419 + 65 + 91 + 70 + 8 + 8 = 666.

It is a super-3 number, since 3×541965917088³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 128091933 + ... + 128096163.

It is an arithmetic number, because the mean of its divisors is an integer number (3550129580).

Almost surely, 2^541965917088 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 541965917088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894632654160).

541965917088 is an abundant number, since it is smaller than the sum of its proper divisors (1247299391232).

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

541965917088 is a wasteful number, since it uses less digits than its factorization.

541965917088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 541965917088 in words is "five hundred forty-one billion, nine hundred sixty-five million, nine hundred seventeen thousand, eighty-eight".