11360680400 has 60 divisors (see below), whose sum is σ = 28235237100. Its totient is φ = 4387568640.

The previous prime is 11360680363. The next prime is 11360680403. The reversal of 11360680400 is 408606311.

It can be written as a sum of positive squares in 6 ways, for example, as 1629252496 + 9731427904 = 40364^2 + 98648^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11360680403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478085 + ... + 501284.

It is an arithmetic number, because the mean of its divisors is an integer number (470587285).

Almost surely, 2^11360680400 is an apocalyptic number.

11360680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11360680400 is an abundant number, since it is smaller than the sum of its proper divisors (16874556700).

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

11360680400 is a wasteful number, since it uses less digits than its factorization.

11360680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979416 (or 979405 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 11360680400 in words is "eleven billion, three hundred sixty million, six hundred eighty thousand, four hundred".