11009890877440 has 1536 divisors, whose sum is σ = 35424685255680. Its totient is φ = 3250166169600.

The previous prime is 11009890877417. The next prime is 11009890877477. The reversal of 11009890877440 is 4477809890011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132649287639 + ... + 132649287721.

It is an arithmetic number, because the mean of its divisors is an integer number (23062946130).

Almost surely, 2^{11009890877440} is an apocalyptic number.

11009890877440 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 11009890877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712342627840).

11009890877440 is an abundant number, since it is smaller than the sum of its proper divisors (24414794378240).

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

11009890877440 is an equidigital number, since it uses as much as digits as its factorization.

11009890877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 58.

The spelling of 11009890877440 in words is "eleven trillion, nine billion, eight hundred ninety million, eight hundred seventy-seven thousand, four hundred forty".