11002153244240 has 160 divisors (see below), whose sum is σ = 26893419710976. Its totient is φ = 4177876285440.

The previous prime is 11002153244231. The next prime is 11002153244261. The reversal of 11002153244240 is 4244235120011.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 167486282 + ... + 167551958.

Almost surely, 2^{11002153244240} is an apocalyptic number.

11002153244240 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 11002153244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446709855488).

11002153244240 is an abundant number, since it is smaller than the sum of its proper divisors (15891266466736).

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

11002153244240 is a wasteful number, since it uses less digits than its factorization.

11002153244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66397 (or 66391 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 11002153244240 its reverse (4244235120011), we get a palindrome (15246388364251).

The spelling of 11002153244240 in words is "eleven trillion, two billion, one hundred fifty-three million, two hundred forty-four thousand, two hundred forty".