11004922274880 has 448 divisors, whose sum is σ = 37436454789120. Its totient is φ = 2730831667200.

The previous prime is 11004922274867. The next prime is 11004922274881. The reversal of 11004922274880 is 8847222940011.

It is a super-2 number, since 2×11004922274880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11004922274881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350940162 + ... + 350971518.

Almost surely, 2^{11004922274880} is an apocalyptic number.

11004922274880 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 11004922274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718227394560).

11004922274880 is an abundant number, since it is smaller than the sum of its proper divisors (26431532514240).

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

11004922274880 is a wasteful number, since it uses less digits than its factorization.

11004922274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31738 (or 31728 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 11004922274880 in words is "eleven trillion, four billion, nine hundred twenty-two million, two hundred seventy-four thousand, eight hundred eighty".