11021384858640 has 320 divisors, whose sum is σ = 37282453770240. Its totient is φ = 2677186068480.

The previous prime is 11021384858591. The next prime is 11021384858657. The reversal of 11021384858640 is 4685848312011.

It is a happy number.

It is a super-3 number, since 3×11021384858640³ (a number of 40 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 80667985 + ... + 80804495.

It is an arithmetic number, because the mean of its divisors is an integer number (116507668032).

Almost surely, 2^{11021384858640} is an apocalyptic number.

11021384858640 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 11021384858640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641226885120).

11021384858640 is an abundant number, since it is smaller than the sum of its proper divisors (26261068911600).

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

11021384858640 is a wasteful number, since it uses less digits than its factorization.

11021384858640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136882 (or 136876 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 11021384858640 in words is "eleven trillion, twenty-one billion, three hundred eighty-four million, eight hundred fifty-eight thousand, six hundred forty".