11030785920 has 1728 divisors, whose sum is σ = 54282992400. Its totient is φ = 2043740160.

The previous prime is 11030785877. The next prime is 11030785921. The reversal of 11030785920 is 2958703011.

It is a super-3 number, since 3×11030785920³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030785921) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 580567671 + ... + 580567689.

Almost surely, 2^11030785920 is an apocalyptic number.

11030785920 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 11030785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141496200).

11030785920 is an abundant number, since it is smaller than the sum of its proper divisors (43252206480).

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

11030785920 is a wasteful number, since it uses less digits than its factorization.

11030785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11030785920 in words is "eleven billion, thirty million, seven hundred eighty-five thousand, nine hundred twenty".