11268819840 has 128 divisors (see below), whose sum is σ = 35956224000. Its totient is φ = 3001935872.

The previous prime is 11268819799. The next prime is 11268819841. The reversal of 11268819840 is 4891886211.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11268819840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268819841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345761 + ... + 2350559.

It is an arithmetic number, because the mean of its divisors is an integer number (280908000).

Almost surely, 2^11268819840 is an apocalyptic number.

11268819840 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 11268819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978112000).

11268819840 is an abundant number, since it is smaller than the sum of its proper divisors (24687404160).

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

11268819840 is a wasteful number, since it uses less digits than its factorization.

11268819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 11268819840 in words is "eleven billion, two hundred sixty-eight million, eight hundred nineteen thousand, eight hundred forty".