1152953206240 has 96 divisors (see below), whose sum is σ = 3027540662496. Its totient is φ = 411345192960.

The previous prime is 1152953206189. The next prime is 1152953206267. The reversal of 1152953206240 is 426023592511.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1152953206193 and 1152953206202.

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 15 ways as a sum of consecutive naturals, for example, 6086787 + ... + 6273346.

It is an arithmetic number, because the mean of its divisors is an integer number (31536881901).

Almost surely, 2^{1152953206240} is an apocalyptic number.

1152953206240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152953206240 is an abundant number, since it is smaller than the sum of its proper divisors (1874587456256).

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

1152953206240 is a wasteful number, since it uses less digits than its factorization.

1152953206240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360212 (or 12360204 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 1152953206240 its reverse (426023592511), we get a palindrome (1578976798751).

The spelling of 1152953206240 in words is "one trillion, one hundred fifty-two billion, nine hundred fifty-three million, two hundred six thousand, two hundred forty".