1100825164530 has 576 divisors, whose sum is σ = 3685103735040. Its totient is φ = 231509311488.

The previous prime is 1100825164457. The next prime is 1100825164541. The reversal of 1100825164530 is 354615280011.

1100825164530 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 8 + 2 + 5 + 1 + 645 + 3 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1635698274 + ... + 1635698946.

It is an arithmetic number, because the mean of its divisors is an integer number (6397749540).

Almost surely, 2^{1100825164530} is an apocalyptic number.

1100825164530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100825164530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842551867520).

1100825164530 is an abundant number, since it is smaller than the sum of its proper divisors (2584278570510).

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

1100825164530 is a wasteful number, since it uses less digits than its factorization.

1100825164530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1100825164530 in words is "one trillion, one hundred billion, eight hundred twenty-five million, one hundred sixty-four thousand, five hundred thirty".