11147680400 has 30 divisors (see below), whose sum is σ = 26782303122. Its totient is φ = 4459072000.

The previous prime is 11147680391. The next prime is 11147680409. The reversal of 11147680400 is 408674111.

It is an interprime number because it is at equal distance from previous prime (11147680391) and next prime (11147680409).

It can be written as a sum of positive squares in 3 ways, for example, as 3128836096 + 8018844304 = 55936^2 + 89548^2 .

It is not an unprimeable number, because it can be changed into a prime (11147680409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13934201 + ... + 13935000.

Almost surely, 2^11147680400 is an apocalyptic number.

11147680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11147680400 is an abundant number, since it is smaller than the sum of its proper divisors (15634622722).

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

11147680400 is a wasteful number, since it uses less digits than its factorization.

11147680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27869219 (or 27869208 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 11147680400 in words is "eleven billion, one hundred forty-seven million, six hundred eighty thousand, four hundred".