11222789898240 has 960 divisors, whose sum is σ = 41917937080320. Its totient is φ = 2843329167360.

The previous prime is 11222789898227. The next prime is 11222789898253. The reversal of 11222789898240 is 4289898722211.

11222789898240 is a `hidden beast` number, since 1 + 1 + 2 + 227 + 89 + 8 + 98 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (11222789898227) and next prime (11222789898253).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8495676780 + ... + 8495678100.

It is an arithmetic number, because the mean of its divisors is an integer number (43664517792).

Almost surely, 2^{11222789898240} is an apocalyptic number.

11222789898240 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 11222789898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958968540160).

11222789898240 is an abundant number, since it is smaller than the sum of its proper divisors (30695147182080).

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

11222789898240 is a wasteful number, since it uses less digits than its factorization.

11222789898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 11222789898240 in words is "eleven trillion, two hundred twenty-two billion, seven hundred eighty-nine million, eight hundred ninety-eight thousand, two hundred forty".