1105687895312 has 480 divisors, whose sum is σ = 3012751171584. Its totient is φ = 386205926400.

The previous prime is 1105687895201. The next prime is 1105687895329. The reversal of 1105687895312 is 2135987865011.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1017191633 + ... + 1017192719.

Almost surely, 2^{1105687895312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105687895312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506375585792).

1105687895312 is an abundant number, since it is smaller than the sum of its proper divisors (1907063276272).

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

1105687895312 is a wasteful number, since it uses less digits than its factorization.

1105687895312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 56.

The spelling of 1105687895312 in words is "one trillion, one hundred five billion, six hundred eighty-seven million, eight hundred ninety-five thousand, three hundred twelve".