1105472535552 has 1056 divisors, whose sum is σ = 4151786056704. Its totient is φ = 274975948800.

The previous prime is 1105472535547. The next prime is 1105472535571. The reversal of 1105472535552 is 2555352745011.

1105472535552 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 47 + 2 + 53 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 1105472535498 and 1105472535507.

It is a congruent number.

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, 1864202968 + ... + 1864203560.

It is an arithmetic number, because the mean of its divisors is an integer number (3931615584).

Almost surely, 2^{1105472535552} is an apocalyptic number.

1105472535552 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 1105472535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075893028352).

1105472535552 is an abundant number, since it is smaller than the sum of its proper divisors (3046313521152).

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

1105472535552 is a wasteful number, since it uses less digits than its factorization.

1105472535552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 1105472535552 in words is "one trillion, one hundred five billion, four hundred seventy-two million, five hundred thirty-five thousand, five hundred fifty-two".