11552190314688 has 224 divisors, whose sum is σ = 34016430539520. Its totient is φ = 3844485734400.

The previous prime is 11552190314671. The next prime is 11552190314729. The reversal of 11552190314688 is 88641309125511.

11552190314688 is a `hidden beast` number, since 1 + 1 + 5 + 521 + 9 + 0 + 31 + 4 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 5082352720 + ... + 5082354992.

Almost surely, 2^{11552190314688} is an apocalyptic number.

11552190314688 is a gapful number since it is divisible by the number (18) 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 11552190314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008215269760).

11552190314688 is an abundant number, since it is smaller than the sum of its proper divisors (22464240224832).

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

11552190314688 is a wasteful number, since it uses less digits than its factorization.

11552190314688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 11552190314688 in words is "eleven trillion, five hundred fifty-two billion, one hundred ninety million, three hundred fourteen thousand, six hundred eighty-eight".