541113012000 has 576 divisors, whose sum is σ = 2151672501888. Its totient is φ = 127630080000.

The previous prime is 541113011977. The next prime is 541113012109. The reversal of 541113012000 is 210311145.

541113012000 is a `hidden beast` number, since 5 + 411 + 130 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14633535 + ... + 14670465.

It is an arithmetic number, because the mean of its divisors is an integer number (3735542538).

Almost surely, 2^541113012000 is an apocalyptic number.

541113012000 is a gapful number since it is divisible by the number (50) 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 541113012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075836250944).

541113012000 is an abundant number, since it is smaller than the sum of its proper divisors (1610559489888).

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

541113012000 is a wasteful number, since it uses less digits than its factorization.

541113012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37010 (or 36989 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 541113012000 its reverse (210311145), we get a palindrome (541323323145).

The spelling of 541113012000 in words is "five hundred forty-one billion, one hundred thirteen million, twelve thousand".