11296479360 has 256 divisors, whose sum is σ = 37880939520. Its totient is φ = 2859417600.

The previous prime is 11296479347. The next prime is 11296479373. The reversal of 11296479360 is 6397469211.

It is an interprime number because it is at equal distance from previous prime (11296479347) and next prime (11296479373).

It is a super-2 number, since 2×11296479360² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3152770 + ... + 3156350.

It is an arithmetic number, because the mean of its divisors is an integer number (147972420).

Almost surely, 2^11296479360 is an apocalyptic number.

11296479360 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 11296479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940469760).

11296479360 is an abundant number, since it is smaller than the sum of its proper divisors (26584460160).

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

11296479360 is a wasteful number, since it uses less digits than its factorization.

11296479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 11296479360 in words is "eleven billion, two hundred ninety-six million, four hundred seventy-nine thousand, three hundred sixty".