11825709218500 has 96 divisors (see below), whose sum is σ = 26721039945600. Its totient is φ = 4566641788800.

The previous prime is 11825709218473. The next prime is 11825709218501. The reversal of 11825709218500 is 581290752811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11825709218501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139433107 + ... + 139517893.

It is an arithmetic number, because the mean of its divisors is an integer number (278344166100).

Almost surely, 2^{11825709218500} is an apocalyptic number.

11825709218500 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 11825709218500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13360519972800).

11825709218500 is an abundant number, since it is smaller than the sum of its proper divisors (14895330727100).

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

11825709218500 is a wasteful number, since it uses less digits than its factorization.

11825709218500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94454 (or 94442 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 49.

The spelling of 11825709218500 in words is "eleven trillion, eight hundred twenty-five billion, seven hundred nine million, two hundred eighteen thousand, five hundred".