20130435000 has 360 divisors, whose sum is σ = 73799720280. Its totient is φ = 4953312000.

The previous prime is 20130434981. The next prime is 20130435023. The reversal of 20130435000 is 53403102.

20130435000 is a `hidden beast` number, since 201 + 30 + 435 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7603677 + ... + 7606323.

It is an arithmetic number, because the mean of its divisors is an integer number (204999223).

Almost surely, 2^20130435000 is an apocalyptic number.

20130435000 is a gapful number since it is divisible by the number (20) 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 20130435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36899860140).

20130435000 is an abundant number, since it is smaller than the sum of its proper divisors (53669285280).

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

20130435000 is a wasteful number, since it uses less digits than its factorization.

20130435000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 20130435000 its reverse (53403102), we get a palindrome (20183838102).

The spelling of 20130435000 in words is "twenty billion, one hundred thirty million, four hundred thirty-five thousand".