1135026252360 has 768 divisors, whose sum is σ = 4960752975360. Its totient is φ = 217359728640.

The previous prime is 1135026252337. The next prime is 1135026252377. The reversal of 1135026252360 is 632526205311.

1135026252360 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 2 + 625 + 23 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264141732 + ... + 264146028.

It is an arithmetic number, because the mean of its divisors is an integer number (6459313770).

Almost surely, 2^{1135026252360} is an apocalyptic number.

1135026252360 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 1135026252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480376487680).

1135026252360 is an abundant number, since it is smaller than the sum of its proper divisors (3825726723000).

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

1135026252360 is a wasteful number, since it uses less digits than its factorization.

1135026252360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1135026252360 in words is "one trillion, one hundred thirty-five billion, twenty-six million, two hundred fifty-two thousand, three hundred sixty".