541597960512 has 336 divisors, whose sum is σ = 1856513098752. Its totient is φ = 147696721920.

The previous prime is 541597960511. The next prime is 541597960517. The reversal of 541597960512 is 215069795145.

541597960512 is a `hidden beast` number, since 5 + 4 + 1 + 59 + 79 + 6 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×541597960512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541597960511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9094738 + ... + 9154094.

Almost surely, 2^541597960512 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 541597960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928256549376).

541597960512 is an abundant number, since it is smaller than the sum of its proper divisors (1314915138240).

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

541597960512 is a wasteful number, since it uses less digits than its factorization.

541597960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59486 (or 59473 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 541597960512 in words is "five hundred forty-one billion, five hundred ninety-seven million, nine hundred sixty thousand, five hundred twelve".