11147028400000 has 384 divisors, whose sum is σ = 28248207624000. Its totient is φ = 4380364800000.

The previous prime is 11147028399967. The next prime is 11147028400007. The reversal of 11147028400000 is 482074111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147028400007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11047599496 + ... + 11047600504.

Almost surely, 2^{11147028400000} is an apocalyptic number.

11147028400000 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 11147028400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124103812000).

11147028400000 is an abundant number, since it is smaller than the sum of its proper divisors (17101179224000).

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

11147028400000 is an frugal number, since it uses more digits than its factorization.

11147028400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 11147028400000 in words is "eleven trillion, one hundred forty-seven billion, twenty-eight million, four hundred thousand".