1103651727360 has 960 divisors, whose sum is σ = 4439752611840. Its totient is φ = 232656076800.

The previous prime is 1103651727301. The next prime is 1103651727389. The reversal of 1103651727360 is 637271563011.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 958862785 + ... + 958863935.

It is an arithmetic number, because the mean of its divisors is an integer number (4624742304).

Almost surely, 2^{1103651727360} is an apocalyptic number.

1103651727360 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 1103651727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219876305920).

1103651727360 is an abundant number, since it is smaller than the sum of its proper divisors (3336100884480).

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

1103651727360 is an equidigital number, since it uses as much as digits as its factorization.

1103651727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 1103651727360 in words is "one trillion, one hundred three billion, six hundred fifty-one million, seven hundred twenty-seven thousand, three hundred sixty".