541568788992 has 480 divisors, whose sum is σ = 2020889654784. Its totient is φ = 140664729600.

The previous prime is 541568788967. The next prime is 541568788993. The reversal of 541568788992 is 299887865145.

541568788992 is a `hidden beast` number, since 5 + 415 + 68 + 78 + 89 + 9 + 2 = 666.

It is a super-2 number, since 2×541568788992² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 541568788992.

It is not an unprimeable number, because it can be changed into a prime (541568788993) 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, 9551767 + ... + 9608297.

Almost surely, 2^541568788992 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 541568788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010444827392).

541568788992 is an abundant number, since it is smaller than the sum of its proper divisors (1479320865792).

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

541568788992 is an equidigital number, since it uses as much as digits as its factorization.

541568788992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56582 (or 56554 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 72.

The spelling of 541568788992 in words is "five hundred forty-one billion, five hundred sixty-eight million, seven hundred eighty-eight thousand, nine hundred ninety-two".