1153073653340 has 96 divisors (see below), whose sum is σ = 2863648166400. Its totient is φ = 381594528000.

The previous prime is 1153073653339. The next prime is 1153073653357. The reversal of 1153073653340 is 433563703511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14328215 + ... + 14408465.

It is an arithmetic number, because the mean of its divisors is an integer number (29829668400).

Almost surely, 2^{1153073653340} is an apocalyptic number.

1153073653340 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 1153073653340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431824083200).

1153073653340 is an abundant number, since it is smaller than the sum of its proper divisors (1710574513060).

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

1153073653340 is a wasteful number, since it uses less digits than its factorization.

1153073653340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83835 (or 83833 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 41.

The spelling of 1153073653340 in words is "one trillion, one hundred fifty-three billion, seventy-three million, six hundred fifty-three thousand, three hundred forty".