1153275618816 has 160 divisors (see below), whose sum is σ = 3420503618400. Its totient is φ = 383667609600.

The previous prime is 1153275618757. The next prime is 1153275618821. The reversal of 1153275618816 is 6188165723511.

1153275618816 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 2 + 7 + 5 + 618 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 6954466 + ... + 7118366.

It is an arithmetic number, because the mean of its divisors is an integer number (21378147615).

Almost surely, 2^{1153275618816} is an apocalyptic number.

1153275618816 is a gapful number since it is divisible by the number (16) 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 1153275618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710251809200).

1153275618816 is an abundant number, since it is smaller than the sum of its proper divisors (2267227999584).

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

1153275618816 is an equidigital number, since it uses as much as digits as its factorization.

1153275618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164437 (or 164415 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 1153275618816 in words is "one trillion, one hundred fifty-three billion, two hundred seventy-five million, six hundred eighteen thousand, eight hundred sixteen".