11367851040 has 1296 divisors, whose sum is σ = 53432614872. Its totient is φ = 2257403904.

The previous prime is 11367850997. The next prime is 11367851083. The reversal of 11367851040 is 4015876311.

11367851040 is a `hidden beast` number, since 1 + 1 + 36 + 78 + 510 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11367850997) and next prime (11367851083).

It can be written as a sum of positive squares in 4 ways, for example, as 8646768144 + 2721082896 = 92988^2 + 52164^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a junction number, because it is equal to n+sod(n) for n = 11367850986 and 11367851004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 668697112 + ... + 668697128.

Almost surely, 2^11367851040 is an apocalyptic number.

11367851040 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 11367851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26716307436).

11367851040 is an abundant number, since it is smaller than the sum of its proper divisors (42064763832).

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

11367851040 is an equidigital number, since it uses as much as digits as its factorization.

11367851040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11367851040 in words is "eleven billion, three hundred sixty-seven million, eight hundred fifty-one thousand, forty".