1152505879296 has 144 divisors (see below), whose sum is σ = 3296255324544. Its totient is φ = 356173627392.

The previous prime is 1152505879253. The next prime is 1152505879319. The reversal of 1152505879296 is 6929785052511.

It is a super-2 number, since 2×1152505879296² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215991 + ... + 1533513.

It is an arithmetic number, because the mean of its divisors is an integer number (22890661976).

Almost surely, 2^{1152505879296} is an apocalyptic number.

1152505879296 is a gapful number since it is divisible by the number (16) 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 1152505879296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648127662272).

1152505879296 is an abundant number, since it is smaller than the sum of its proper divisors (2143749445248).

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

1152505879296 is a wasteful number, since it uses less digits than its factorization.

1152505879296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317626 (or 1317612 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 60.

The spelling of 1152505879296 in words is "one trillion, one hundred fifty-two billion, five hundred five million, eight hundred seventy-nine thousand, two hundred ninety-six".