11451394560000 has 1040 divisors, whose sum is σ = 40127150701440. Its totient is φ = 2898001920000.

The previous prime is 11451394559999. The next prime is 11451394560013. The reversal of 11451394560000 is 6549315411.

It is a super-2 number, since 2×11451394560000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42570239866 + ... + 42570240134.

Almost surely, 2^{11451394560000} is an apocalyptic number.

11451394560000 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 11451394560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063575350720).

11451394560000 is an abundant number, since it is smaller than the sum of its proper divisors (28675756141440).

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

11451394560000 is an equidigital number, since it uses as much as digits as its factorization.

11451394560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 11451394560000 in words is "eleven trillion, four hundred fifty-one billion, three hundred ninety-four million, five hundred sixty thousand".