1103963970720 has 768 divisors, whose sum is σ = 4019955609600. Its totient is φ = 252401909760.

The previous prime is 1103963970689. The next prime is 1103963970727. The reversal of 1103963970720 is 270793693011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1103963970720.

It is not an unprimeable number, because it can be changed into a prime (1103963970727) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2634758671 + ... + 2634759089.

It is an arithmetic number, because the mean of its divisors is an integer number (5234317200).

Almost surely, 2^{1103963970720} is an apocalyptic number.

1103963970720 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 1103963970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009977804800).

1103963970720 is an abundant number, since it is smaller than the sum of its proper divisors (2915991638880).

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

1103963970720 is a wasteful number, since it uses less digits than its factorization.

1103963970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The spelling of 1103963970720 in words is "one trillion, one hundred three billion, nine hundred sixty-three million, nine hundred seventy thousand, seven hundred twenty".