11135531700 has 360 divisors, whose sum is σ = 37924350464. Its totient is φ = 2822688000.

The previous prime is 11135531699. The next prime is 11135531707. The reversal of 11135531700 is 713553111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135531707) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15316737 + ... + 15317463.

Almost surely, 2^11135531700 is an apocalyptic number.

11135531700 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 11135531700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962175232).

11135531700 is an abundant number, since it is smaller than the sum of its proper divisors (26788818764).

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

11135531700 is a wasteful number, since it uses less digits than its factorization.

11135531700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The spelling of 11135531700 in words is "eleven billion, one hundred thirty-five million, five hundred thirty-one thousand, seven hundred".