11875539271680 has 2880 divisors, whose sum is σ = 53073103104000. Its totient is φ = 2504213397504.

The previous prime is 11875539271679. The next prime is 11875539271681. The reversal of 11875539271680 is 8617293557811.

It is a happy number.

11875539271680 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 5 + 539 + 2 + 7 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (11875539271679) and next prime (11875539271681).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11875539271681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150323281881 + ... + 150323281959.

It is an arithmetic number, because the mean of its divisors is an integer number (18428160800).

Almost surely, 2^{11875539271680} is an apocalyptic number.

11875539271680 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 11875539271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26536551552000).

11875539271680 is an abundant number, since it is smaller than the sum of its proper divisors (41197563832320).

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

11875539271680 is an equidigital number, since it uses as much as digits as its factorization.

11875539271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 11875539271680 in words is "eleven trillion, eight hundred seventy-five billion, five hundred thirty-nine million, two hundred seventy-one thousand, six hundred eighty".