1153152928640 has 128 divisors (see below), whose sum is σ = 2781011819520. Its totient is φ = 457209446400.

The previous prime is 1153152928583. The next prime is 1153152928643. The reversal of 1153152928640 is 468292513511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153152928643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97611374 + ... + 97623186.

It is an arithmetic number, because the mean of its divisors is an integer number (21726654840).

Almost surely, 2^{1153152928640} is an apocalyptic number.

1153152928640 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 1153152928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390505909760).

1153152928640 is an abundant number, since it is smaller than the sum of its proper divisors (1627858890880).

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

1153152928640 is a wasteful number, since it uses less digits than its factorization.

1153152928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 1153152928640 in words is "one trillion, one hundred fifty-three billion, one hundred fifty-two million, nine hundred twenty-eight thousand, six hundred forty".