12491162880 has 576 divisors, whose sum is σ = 47555278848. Its totient is φ = 2735308800.

The previous prime is 12491162813. The next prime is 12491162891. The reversal of 12491162880 is 8826119421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116739787 + ... + 116739893.

It is an arithmetic number, because the mean of its divisors is an integer number (82561248).

Almost surely, 2^12491162880 is an apocalyptic number.

12491162880 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 12491162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777639424).

12491162880 is an abundant number, since it is smaller than the sum of its proper divisors (35064115968).

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

12491162880 is a wasteful number, since it uses less digits than its factorization.

12491162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 12491162880 in words is "twelve billion, four hundred ninety-one million, one hundred sixty-two thousand, eight hundred eighty".