541650727296 has 640 divisors, whose sum is σ = 1956963317760. Its totient is φ = 145178542080.

The previous prime is 541650727229. The next prime is 541650727297. The reversal of 541650727296 is 692727056145.

It is a happy number.

541650727296 is a `hidden beast` number, since 5 + 41 + 6 + 507 + 2 + 7 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541650727297) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 546569361 + ... + 546570351.

It is an arithmetic number, because the mean of its divisors is an integer number (3057755184).

Almost surely, 2^541650727296 is an apocalyptic number.

541650727296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541650727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978481658880).

541650727296 is an abundant number, since it is smaller than the sum of its proper divisors (1415312590464).

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

541650727296 is a wasteful number, since it uses less digits than its factorization.

541650727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 541650727296 in words is "five hundred forty-one billion, six hundred fifty million, seven hundred twenty-seven thousand, two hundred ninety-six".