1153123304520 has 128 divisors (see below), whose sum is σ = 3779570263680. Its totient is φ = 279121920000.

The previous prime is 1153123304461. The next prime is 1153123304563. The reversal of 1153123304520 is 254033213511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211720 + ... + 1533320.

It is an arithmetic number, because the mean of its divisors is an integer number (29527892685).

Almost surely, 2^{1153123304520} is an apocalyptic number.

1153123304520 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 1153123304520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889785131840).

1153123304520 is an abundant number, since it is smaller than the sum of its proper divisors (2626446959160).

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

1153123304520 is a wasteful number, since it uses less digits than its factorization.

1153123304520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322287 (or 1322283 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 1153123304520 in words is "one trillion, one hundred fifty-three billion, one hundred twenty-three million, three hundred four thousand, five hundred twenty".