11278229760 has 864 divisors, whose sum is σ = 49819311360. Its totient is φ = 2293235712.

The previous prime is 11278229749. The next prime is 11278229771. The reversal of 11278229760 is 6792287211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11278229749) and next prime (11278229771).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26046504 + ... + 26046936.

It is an arithmetic number, because the mean of its divisors is an integer number (57661240).

Almost surely, 2^11278229760 is an apocalyptic number.

11278229760 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 11278229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909655680).

11278229760 is an abundant number, since it is smaller than the sum of its proper divisors (38541081600).

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

11278229760 is a wasteful number, since it uses less digits than its factorization.

11278229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11278229760 in words is "eleven billion, two hundred seventy-eight million, two hundred twenty-nine thousand, seven hundred sixty".