20435827100 has 72 divisors (see below), whose sum is σ = 47788274688. Its totient is φ = 7540588800.

The previous prime is 20435827063. The next prime is 20435827127. The reversal of 20435827100 is 172853402.

It is a super-2 number, since 2×20435827100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415077 + ... + 2423523.

Almost surely, 2^20435827100 is an apocalyptic number.

20435827100 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 20435827100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894137344).

20435827100 is an abundant number, since it is smaller than the sum of its proper divisors (27352447588).

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

20435827100 is a wasteful number, since it uses less digits than its factorization.

20435827100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10335 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 20435827100 in words is "twenty billion, four hundred thirty-five million, eight hundred twenty-seven thousand, one hundred".