11135683020 has 192 divisors, whose sum is σ = 40919961600. Its totient is φ = 2192106240.

The previous prime is 11135683003. The next prime is 11135683033. The reversal of 11135683020 is 2038653111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24351 + ... + 151209.

It is an arithmetic number, because the mean of its divisors is an integer number (213124800).

Almost surely, 2^11135683020 is an apocalyptic number.

11135683020 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 11135683020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459980800).

11135683020 is an abundant number, since it is smaller than the sum of its proper divisors (29784278580).

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

11135683020 is a wasteful number, since it uses less digits than its factorization.

11135683020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126908 (or 126906 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

It can be divided in two parts, 111356 and 83020, that added together give a triangular number (194376 = T₆₂₃).

The spelling of 11135683020 in words is "eleven billion, one hundred thirty-five million, six hundred eighty-three thousand, twenty".