11875501125000 has 980 divisors, whose sum is σ = 44048510292945. Its totient is φ = 3000126600000.

The previous prime is 11875501124969. The next prime is 11875501125091. The reversal of 11875501125000 is 52110557811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11875501125000 is a `hidden beast` number, since 1 + 1 + 87 + 550 + 1 + 1 + 25 + 0 + 0 + 0 = 666.

11875501125000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2025105455844 + 9850395669156 = 1423062^2 + 3138534^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2436750.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11875501125000 = 2850³ + 22800³ = 12825³ + 21375³.

It is an unprimeable number.

It is a polite number, since it can be written in 244 ways as a sum of consecutive naturals, for example, 625026374991 + ... + 625026375009.

Almost surely, 2^{11875501125000} is an apocalyptic number.

11875501125000 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 11875501125000

11875501125000 is an abundant number, since it is smaller than the sum of its proper divisors (32173009167945).

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

11875501125000 is an frugal number, since it uses more digits than its factorization.

11875501125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 36.

The spelling of 11875501125000 in words is "eleven trillion, eight hundred seventy-five billion, five hundred one million, one hundred twenty-five thousand".