1153484271072 has 180 divisors, whose sum is σ = 3826698974280. Its totient is φ = 329566737024.

The previous prime is 1153484271067. The next prime is 1153484271077. The reversal of 1153484271072 is 2701724843511.

It is a happy number.

1153484271072 is a `hidden beast` number, since 1 + 1 + 534 + 8 + 4 + 2 + 7 + 107 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1153484271067) and next prime (1153484271077).

It is a super-2 number, since 2×1153484271072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153484271077) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 142572 + ... + 1525547.

It is an arithmetic number, because the mean of its divisors is an integer number (21259438746).

Almost surely, 2^{1153484271072} is an apocalyptic number.

1153484271072 is a gapful number since it is divisible by the number (12) 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 1153484271072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913349487140).

1153484271072 is an abundant number, since it is smaller than the sum of its proper divisors (2673214703208).

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

1153484271072 is an equidigital number, since it uses as much as digits as its factorization.

1153484271072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668163 (or 1668131 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1153484271072 in words is "one trillion, one hundred fifty-three billion, four hundred eighty-four million, two hundred seventy-one thousand, seventy-two".