11541342789120 has 320 divisors, whose sum is σ = 37028608303104. Its totient is φ = 3066669957120.

The previous prime is 11541342789103. The next prime is 11541342789199. The reversal of 11541342789120 is 2198724314511.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11541342789120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068688040 + ... + 3068691800.

Almost surely, 2^{11541342789120} is an apocalyptic number.

11541342789120 is a gapful number since it is divisible by the number (10) 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 11541342789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514304151552).

11541342789120 is an abundant number, since it is smaller than the sum of its proper divisors (25487265513984).

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

11541342789120 is an equidigital number, since it uses as much as digits as its factorization.

11541342789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 11541342789120 in words is "eleven trillion, five hundred forty-one billion, three hundred forty-two million, seven hundred eighty-nine thousand, one hundred twenty".