11872718608500 has 288 divisors, whose sum is σ = 37546016901120. Its totient is φ = 3158331264000.

The previous prime is 11872718608451. The next prime is 11872718608511. The reversal of 11872718608500 is 580681727811.

11872718608500 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 2 + 71 + 8 + 60 + 8 + 500 = 666.

It is a super-2 number, since 2×11872718608500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4098279052 + ... + 4098281948.

It is an arithmetic number, because the mean of its divisors is an integer number (130368114240).

Almost surely, 2^{11872718608500} is an apocalyptic number.

11872718608500 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 11872718608500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773008450560).

11872718608500 is an abundant number, since it is smaller than the sum of its proper divisors (25673298292620).

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

11872718608500 is a wasteful number, since it uses less digits than its factorization.

11872718608500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 11872718608500 in words is "eleven trillion, eight hundred seventy-two billion, seven hundred eighteen million, six hundred eight thousand, five hundred".