1103164392960 has 2560 divisors, whose sum is σ = 5028249600000. Its totient is φ = 228248616960.

The previous prime is 1103164392947. The next prime is 1103164392973. The reversal of 1103164392960 is 692934613011.

1103164392960 is a `hidden beast` number, since 1 + 1 + 0 + 316 + 43 + 9 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1103164392947) and next prime (1103164392973).

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13964106201 + ... + 13964106279.

It is an arithmetic number, because the mean of its divisors is an integer number (1964160000).

Almost surely, 2^{1103164392960} is an apocalyptic number.

1103164392960 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 1103164392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514124800000).

1103164392960 is an abundant number, since it is smaller than the sum of its proper divisors (3925085207040).

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

1103164392960 is an equidigital number, since it uses as much as digits as its factorization.

1103164392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1103164392960 in words is "one trillion, one hundred three billion, one hundred sixty-four million, three hundred ninety-two thousand, nine hundred sixty".