11542009489920 has 4480 divisors, whose sum is σ = 55602816192000. Its totient is φ = 2275463135232.

The previous prime is 11542009489837. The next prime is 11542009489957. The reversal of 11542009489920 is 2998490024511.

11542009489920 is a `hidden beast` number, since 1 + 1 + 54 + 20 + 0 + 9 + 489 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 158109719004 + ... + 158109719076.

It is an arithmetic number, because the mean of its divisors is an integer number (12411342900).

Almost surely, 2^{11542009489920} is an apocalyptic number.

11542009489920 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 11542009489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27801408096000).

11542009489920 is an abundant number, since it is smaller than the sum of its proper divisors (44060806702080).

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

11542009489920 is an frugal number, since it uses more digits than its factorization.

11542009489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11542009489920 in words is "eleven trillion, five hundred forty-two billion, nine million, four hundred eighty-nine thousand, nine hundred twenty".