1153401505328 has 80 divisors (see below), whose sum is σ = 2339265277440. Its totient is φ = 549881367552.

The previous prime is 1153401505327. The next prime is 1153401505343. The reversal of 1153401505328 is 8235051043511.

It is a junction number, because it is equal to n+sod(n) for n = 1153401505291 and 1153401505300.

It is not an unprimeable number, because it can be changed into a prime (1153401505327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248414975 + ... + 248419617.

It is an arithmetic number, because the mean of its divisors is an integer number (29240815968).

Almost surely, 2^{1153401505328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153401505328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169632638720).

1153401505328 is an abundant number, since it is smaller than the sum of its proper divisors (1185863772112).

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

1153401505328 is a wasteful number, since it uses less digits than its factorization.

1153401505328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

Adding to 1153401505328 its reverse (8235051043511), we get a palindrome (9388452548839).

The spelling of 1153401505328 in words is "one trillion, one hundred fifty-three billion, four hundred one million, five hundred five thousand, three hundred twenty-eight".