11859541387200 has 5040 divisors, whose sum is σ = 55617296765184. Its totient is φ = 2450895667200.

The previous prime is 11859541387171. The next prime is 11859541387241. The reversal of 11859541387200 is 278314595811.

11859541387200 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 9 + 54 + 1 + 387 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 320528145582 + ... + 320528145618.

Almost surely, 2^{11859541387200} is an apocalyptic number.

11859541387200 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 11859541387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27808648382592).

11859541387200 is an abundant number, since it is smaller than the sum of its proper divisors (43757755377984).

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

11859541387200 is a wasteful number, since it uses less digits than its factorization.

11859541387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 11859541387200 in words is "eleven trillion, eight hundred fifty-nine billion, five hundred forty-one million, three hundred eighty-seven thousand, two hundred".