11871461172480 has 3456 divisors, whose sum is σ = 54650424729600. Its totient is φ = 2128292610048.

The previous prime is 11871461172437. The next prime is 11871461172481. The reversal of 11871461172480 is 8427116417811.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11871461172481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44131825786 + ... + 44131826054.

It is an arithmetic number, because the mean of its divisors is an integer number (15813201600).

Almost surely, 2^{11871461172480} is an apocalyptic number.

11871461172480 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 11871461172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27325212364800).

11871461172480 is an abundant number, since it is smaller than the sum of its proper divisors (42778963557120).

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

11871461172480 is a wasteful number, since it uses less digits than its factorization.

11871461172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 51.

The spelling of 11871461172480 in words is "eleven trillion, eight hundred seventy-one billion, four hundred sixty-one million, one hundred seventy-two thousand, four hundred eighty".