11312862720 has 160 divisors (see below), whose sum is σ = 36849507552. Its totient is φ = 2959736832.

The previous prime is 11312862719. The next prime is 11312862727. The reversal of 11312862720 is 2726821311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312862727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 393144 + ... + 420936.

Almost surely, 2^11312862720 is an apocalyptic number.

11312862720 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 11312862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18424753776).

11312862720 is an abundant number, since it is smaller than the sum of its proper divisors (25536644832).

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

11312862720 is an equidigital number, since it uses as much as digits as its factorization.

11312862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27872 (or 27856 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11312862720 in words is "eleven billion, three hundred twelve million, eight hundred sixty-two thousand, seven hundred twenty".