11825111040 has 112 divisors (see below), whose sum is σ = 37838438928. Its totient is φ = 3153330176.

The previous prime is 11825110993. The next prime is 11825111057. The reversal of 11825111040 is 4011152811.

It is a super-2 number, since 2×11825111040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11825111040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74764 + ... + 170996.

Almost surely, 2^11825111040 is an apocalyptic number.

11825111040 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 11825111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18919219464).

11825111040 is an abundant number, since it is smaller than the sum of its proper divisors (26013327888).

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

11825111040 is an frugal number, since it uses more digits than its factorization.

11825111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96267 (or 96243 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

Adding to 11825111040 its reverse (4011152811), we get a palindrome (15836263851).

The spelling of 11825111040 in words is "eleven billion, eight hundred twenty-five million, one hundred eleven thousand, forty".