1126578252105 has 48 divisors (see below), whose sum is σ = 2085024180096. Its totient is φ = 561352619520.

The previous prime is 1126578252101. The next prime is 1126578252169. The reversal of 1126578252105 is 5012528756211.

It is a happy number.

1126578252105 is a `hidden beast` number, since 1 + 1 + 26 + 578 + 2 + 52 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 1126578252105 - 2² = 1126578252101 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1126578252101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12612256 + ... + 12701265.

It is an arithmetic number, because the mean of its divisors is an integer number (43438003752).

Almost surely, 2^{1126578252105} is an apocalyptic number.

1126578252105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1126578252105 is a deficient number, since it is larger than the sum of its proper divisors (958445927991).

1126578252105 is a wasteful number, since it uses less digits than its factorization.

1126578252105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25313598 (or 25313595 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1126578252105 in words is "one trillion, one hundred twenty-six billion, five hundred seventy-eight million, two hundred fifty-two thousand, one hundred five".