11417828970 has 32 divisors (see below), whose sum is σ = 27406848960. Its totient is φ = 3044303360.

The previous prime is 11417828963. The next prime is 11417828971. The reversal of 11417828970 is 7982871411.

11417828970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11417828971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210961 + ... + 259499.

It is an arithmetic number, because the mean of its divisors is an integer number (856464030).

Almost surely, 2^11417828970 is an apocalyptic number.

11417828970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11417828970 is an abundant number, since it is smaller than the sum of its proper divisors (15989019990).

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

11417828970 is a wasteful number, since it uses less digits than its factorization.

11417828970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56390.

The product of its (nonzero) digits is 225792, while the sum is 48.

The spelling of 11417828970 in words is "eleven billion, four hundred seventeen million, eight hundred twenty-eight thousand, nine hundred seventy".