11031849920 has 448 divisors, whose sum is σ = 34519941120. Its totient is φ = 3260694528.

The previous prime is 11031849919. The next prime is 11031849923. The reversal of 11031849920 is 2994813011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031849923) 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, 70266482 + ... + 70266638.

It is an arithmetic number, because the mean of its divisors is an integer number (77053440).

Almost surely, 2^11031849920 is an apocalyptic number.

11031849920 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 11031849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17259970560).

11031849920 is an abundant number, since it is smaller than the sum of its proper divisors (23488091200).

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

11031849920 is a wasteful number, since it uses less digits than its factorization.

11031849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 11031849920 in words is "eleven billion, thirty-one million, eight hundred forty-nine thousand, nine hundred twenty".