11452151088000 has 1024 divisors, whose sum is σ = 48310359552000. Its totient is φ = 2612083507200.

The previous prime is 11452151087959. The next prime is 11452151088013. The reversal of 11452151088000 is 88015125411.

11452151088000 is a `hidden beast` number, since 1 + 1 + 4 + 521 + 51 + 0 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1521068236 + ... + 1521075764.

It is an arithmetic number, because the mean of its divisors is an integer number (47178085500).

Almost surely, 2^{11452151088000} is an apocalyptic number.

11452151088000 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 11452151088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24155179776000).

11452151088000 is an abundant number, since it is smaller than the sum of its proper divisors (36858208464000).

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

11452151088000 is an equidigital number, since it uses as much as digits as its factorization.

11452151088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8077 (or 8049 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 11452151088000 in words is "eleven trillion, four hundred fifty-two billion, one hundred fifty-one million, eighty-eight thousand".