11451140212600 has 96 divisors (see below), whose sum is σ = 29058883862400. Its totient is φ = 4161953750400.

The previous prime is 11451140212597. The next prime is 11451140212613. The reversal of 11451140212600 is 621204115411.

It is a super-2 number, since 2×11451140212600² (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 23 ways as a sum of consecutive naturals, for example, 3061621 + ... + 5681179.

It is an arithmetic number, because the mean of its divisors is an integer number (302696706900).

Almost surely, 2^{11451140212600} is an apocalyptic number.

11451140212600 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 11451140212600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529441931200).

11451140212600 is an abundant number, since it is smaller than the sum of its proper divisors (17607743649800).

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

11451140212600 is a wasteful number, since it uses less digits than its factorization.

11451140212600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621573 (or 2621564 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 11451140212600 in words is "eleven trillion, four hundred fifty-one billion, one hundred forty million, two hundred twelve thousand, six hundred".