11552768020512 has 192 divisors, whose sum is σ = 34424934888960. Its totient is φ = 3767963277312.

The previous prime is 11552768020501. The next prime is 11552768020567. The reversal of 11552768020512 is 21502086725511.

It is a happy number.

11552768020512 is a `hidden beast` number, since 1 + 1 + 5 + 52 + 7 + 6 + 80 + 2 + 0 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16461948 + ... + 17149380.

It is an arithmetic number, because the mean of its divisors is an integer number (179296535880).

Almost surely, 2^{11552768020512} is an apocalyptic number.

11552768020512 is a gapful number since it is divisible by the number (12) 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 11552768020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212467444480).

11552768020512 is an abundant number, since it is smaller than the sum of its proper divisors (22872166868448).

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

11552768020512 is a wasteful number, since it uses less digits than its factorization.

11552768020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687872 (or 687858 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 11552768020512 in words is "eleven trillion, five hundred fifty-two billion, seven hundred sixty-eight million, twenty thousand, five hundred twelve".