11928215040 has 480 divisors, whose sum is σ = 45930408480. Its totient is φ = 2630025216.

The previous prime is 11928215027. The next prime is 11928215041. The reversal of 11928215040 is 4051282911.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 11928214992 and 11928215010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11928215041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10912734 + ... + 10913826.

It is an arithmetic number, because the mean of its divisors is an integer number (95688351).

Almost surely, 2^11928215040 is an apocalyptic number.

11928215040 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 11928215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22965204240).

11928215040 is an abundant number, since it is smaller than the sum of its proper divisors (34002193440).

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

11928215040 is a wasteful number, since it uses less digits than its factorization.

11928215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 11928215040 its reverse (4051282911), we get a palindrome (15979497951).

The spelling of 11928215040 in words is "eleven billion, nine hundred twenty-eight million, two hundred fifteen thousand, forty".