1105996865952 has 96 divisors (see below), whose sum is σ = 3168431852544. Its totient is φ = 335017337600.

The previous prime is 1105996865893. The next prime is 1105996865977. The reversal of 1105996865952 is 2595686995011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

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 15 ways as a sum of consecutive naturals, for example, 2465833 + ... + 2879639.

It is an arithmetic number, because the mean of its divisors is an integer number (33004498464).

Almost surely, 2^{1105996865952} is an apocalyptic number.

1105996865952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105996865952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584215926272).

1105996865952 is an abundant number, since it is smaller than the sum of its proper divisors (2062434986592).

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

1105996865952 is a wasteful number, since it uses less digits than its factorization.

1105996865952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416362 (or 416354 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 66.

The spelling of 1105996865952 in words is "one trillion, one hundred five billion, nine hundred ninety-six million, eight hundred sixty-five thousand, nine hundred fifty-two".