11072349420 has 96 divisors (see below), whose sum is σ = 34100752896. Its totient is φ = 2684186560.

The previous prime is 11072349413. The next prime is 11072349439. The reversal of 11072349420 is 2494327011.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 10537 + ... + 149183.

It is an arithmetic number, because the mean of its divisors is an integer number (355216176).

Almost surely, 2^11072349420 is an apocalyptic number.

11072349420 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 11072349420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050376448).

11072349420 is an abundant number, since it is smaller than the sum of its proper divisors (23028403476).

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

11072349420 is a wasteful number, since it uses less digits than its factorization.

11072349420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138692 (or 138668 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 11072349420 in words is "eleven billion, seventy-two million, three hundred forty-nine thousand, four hundred twenty".