1135858680 has 256 divisors, whose sum is σ = 4311014400. Its totient is φ = 263324160.

The previous prime is 1135858679. The next prime is 1135858681. The reversal of 1135858680 is 868585311.

1135858680 is a `hidden beast` number, since 1 + 1 + 3 + 585 + 8 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1135858679) and next prime (1135858681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135858681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271162 + ... + 275318.

It is an arithmetic number, because the mean of its divisors is an integer number (16839900).

Almost surely, 2^1135858680 is an apocalyptic number.

1135858680 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 1135858680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155507200).

1135858680 is an abundant number, since it is smaller than the sum of its proper divisors (3175155720).

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

1135858680 is a wasteful number, since it uses less digits than its factorization.

1135858680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1135858680 is about 33702.5025777019. The cubic root of 1135858680 is about 1043.3774197931.

It can be divided in two parts, 113585 and 8680, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1135858680 in words is "one billion, one hundred thirty-five million, eight hundred fifty-eight thousand, six hundred eighty".