11875389120 has 1008 divisors, whose sum is σ = 51676035840. Its totient is φ = 2487324672.

The previous prime is 11875389109. The next prime is 11875389121. The reversal of 11875389120 is 2198357811.

11875389120 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 538 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11875389121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115294989 + ... + 115295091.

Almost surely, 2^11875389120 is an apocalyptic number.

11875389120 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 11875389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838017920).

11875389120 is an abundant number, since it is smaller than the sum of its proper divisors (39800646720).

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

11875389120 is a wasteful number, since it uses less digits than its factorization.

11875389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11875389120 in words is "eleven billion, eight hundred seventy-five million, three hundred eighty-nine thousand, one hundred twenty".