1135217153952 has 960 divisors, whose sum is σ = 4060515723264. Its totient is φ = 304331489280.

The previous prime is 1135217153951. The next prime is 1135217153953. The reversal of 1135217153952 is 2593517125311.

1135217153952 is a `hidden beast` number, since 1 + 1 + 3 + 52 + 17 + 1 + 539 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1135217153951) and next prime (1135217153953).

It is a junction number, because it is equal to n+sod(n) for n = 1135217153898 and 1135217153907.

It is not an unprimeable number, because it can be changed into a prime (1135217153951) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3368596728 + ... + 3368597064.

Almost surely, 2^{1135217153952} is an apocalyptic number.

1135217153952 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 1135217153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030257861632).

1135217153952 is an abundant number, since it is smaller than the sum of its proper divisors (2925298569312).

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

1135217153952 is a wasteful number, since it uses less digits than its factorization.

1135217153952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its digits is 283500, while the sum is 45.

The spelling of 1135217153952 in words is "one trillion, one hundred thirty-five billion, two hundred seventeen million, one hundred fifty-three thousand, nine hundred fifty-two".