1135509822720 has 2304 divisors, whose sum is σ = 5397572812800. Its totient is φ = 219290664960.

The previous prime is 1135509822691. The next prime is 1135509822721. The reversal of 1135509822720 is 272289055311.

1135509822720 is a `hidden beast` number, since 1 + 1 + 3 + 550 + 9 + 8 + 22 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×1135509822720³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135509822721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1852381134 + ... + 1852381746.

Almost surely, 2^{1135509822720} is an apocalyptic number.

1135509822720 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 1135509822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698786406400).

1135509822720 is an abundant number, since it is smaller than the sum of its proper divisors (4262062990080).

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

1135509822720 is a wasteful number, since it uses less digits than its factorization.

1135509822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1135509822720 in words is "one trillion, one hundred thirty-five billion, five hundred nine million, eight hundred twenty-two thousand, seven hundred twenty".