11901106788480 has 1536 divisors, whose sum is σ = 52335902062080. Its totient is φ = 2425061376000.

The previous prime is 11901106788359. The next prime is 11901106788509. The reversal of 11901106788480 is 8488760110911.

11901106788480 is a `hidden beast` number, since 1 + 1 + 90 + 1 + 1 + 0 + 6 + 78 + 8 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2170543819 + ... + 2170549301.

It is an arithmetic number, because the mean of its divisors is an integer number (34072852905).

Almost surely, 2^{11901106788480} is an apocalyptic number.

11901106788480 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 11901106788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26167951031040).

11901106788480 is an abundant number, since it is smaller than the sum of its proper divisors (40434795273600).

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

11901106788480 is a wasteful number, since it uses less digits than its factorization.

11901106788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 11901106788480 in words is "eleven trillion, nine hundred one billion, one hundred six million, seven hundred eighty-eight thousand, four hundred eighty".