1135157086200 has 768 divisors, whose sum is σ = 3976620480000. Its totient is φ = 266615193600.

The previous prime is 1135157086169. The next prime is 1135157086201. The reversal of 1135157086200 is 26807515311.

It is a super-2 number, since 2×1135157086200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135157086201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1125031296 + ... + 1125032304.

It is an arithmetic number, because the mean of its divisors is an integer number (5177891250).

Almost surely, 2^{1135157086200} is an apocalyptic number.

1135157086200 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 1135157086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988310240000).

1135157086200 is an abundant number, since it is smaller than the sum of its proper divisors (2841463393800).

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

1135157086200 is a wasteful number, since it uses less digits than its factorization.

1135157086200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 1135157086200 in words is "one trillion, one hundred thirty-five billion, one hundred fifty-seven million, eighty-six thousand, two hundred".