11455122415400 has 48 divisors (see below), whose sum is σ = 26636120744640. Its totient is φ = 4581539524800.

The previous prime is 11455122415393. The next prime is 11455122415417. The reversal of 11455122415400 is 451422155411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1378106 + ... + 4980905.

It is an arithmetic number, because the mean of its divisors is an integer number (554919182180).

Almost surely, 2^{11455122415400} is an apocalyptic number.

11455122415400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11455122415400 is an abundant number, since it is smaller than the sum of its proper divisors (15180998329240).

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

11455122415400 is a wasteful number, since it uses less digits than its factorization.

11455122415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368034 (or 6368025 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The spelling of 11455122415400 in words is "eleven trillion, four hundred fifty-five billion, one hundred twenty-two million, four hundred fifteen thousand, four hundred".