11312438760 has 192 divisors, whose sum is σ = 42451718400. Its totient is φ = 2558988288.

The previous prime is 11312438743. The next prime is 11312438777. The reversal of 11312438760 is 6783421311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11312438743) and next prime (11312438777).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221301 + ... + 267579.

It is an arithmetic number, because the mean of its divisors is an integer number (221102700).

Almost surely, 2^11312438760 is an apocalyptic number.

11312438760 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 11312438760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225859200).

11312438760 is an abundant number, since it is smaller than the sum of its proper divisors (31139279640).

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

11312438760 is a wasteful number, since it uses less digits than its factorization.

11312438760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46400 (or 46393 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11312438760 in words is "eleven billion, three hundred twelve million, four hundred thirty-eight thousand, seven hundred sixty".