11312787024 has 320 divisors, whose sum is σ = 40711680000. Its totient is φ = 2921909760.

The previous prime is 11312786999. The next prime is 11312787041. The reversal of 11312787024 is 42078721311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11312787024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6618682 + ... + 6620390.

It is an arithmetic number, because the mean of its divisors is an integer number (127224000).

Almost surely, 2^11312787024 is an apocalyptic number.

11312787024 is a gapful number since it is divisible by the number (14) 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 11312787024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840000).

11312787024 is an abundant number, since it is smaller than the sum of its proper divisors (29398892976).

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

11312787024 is a wasteful number, since it uses less digits than its factorization.

11312787024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11312787024 in words is "eleven billion, three hundred twelve million, seven hundred eighty-seven thousand, twenty-four".