1105970463360 has 2304 divisors, whose sum is σ = 5051140922880. Its totient is φ = 217220382720.

The previous prime is 1105970463293. The next prime is 1105970463397. The reversal of 1105970463360 is 633640795011.

It is a happy number.

1105970463360 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 9 + 7 + 0 + 4 + 633 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15150280284 + ... + 15150280356.

It is an arithmetic number, because the mean of its divisors is an integer number (2192335470).

Almost surely, 2^{1105970463360} is an apocalyptic number.

1105970463360 is a gapful number since it is divisible by the number (10) 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 1105970463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525570461440).

1105970463360 is an abundant number, since it is smaller than the sum of its proper divisors (3945170459520).

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

1105970463360 is a wasteful number, since it uses less digits than its factorization.

1105970463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1105970463360 in words is "one trillion, one hundred five billion, nine hundred seventy million, four hundred sixty-three thousand, three hundred sixty".