1152506336640 has 128 divisors (see below), whose sum is σ = 3682777540320. Its totient is φ = 306568396800.

The previous prime is 1152506336629. The next prime is 1152506336651. The reversal of 1152506336640 is 466336052511.

It is an interprime number because it is at equal distance from previous prime (1152506336629) and next prime (1152506336651).

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

It is a junction number, because it is equal to n+sod(n) for n = 1152506336592 and 1152506336601.

It is a congruent number.

It is an unprimeable number.

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, 21462 + ... + 1518378.

Almost surely, 2^{1152506336640} is an apocalyptic number.

1152506336640 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 1152506336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841388770160).

1152506336640 is an abundant number, since it is smaller than the sum of its proper divisors (2530271203680).

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

1152506336640 is a wasteful number, since it uses less digits than its factorization.

1152506336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497340 (or 1497328 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 1152506336640 in words is "one trillion, one hundred fifty-two billion, five hundred six million, three hundred thirty-six thousand, six hundred forty".