20205434880 has 384 divisors, whose sum is σ = 72601401600. Its totient is φ = 5329944576.

The previous prime is 20205434863. The next prime is 20205434903. The reversal of 20205434880 is 8843450202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20205434880² (a number of 21 digits) contains 22 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29583019 + ... + 29583701.

It is an arithmetic number, because the mean of its divisors is an integer number (189066150).

Almost surely, 2^20205434880 is an apocalyptic number.

20205434880 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 20205434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300700800).

20205434880 is an abundant number, since it is smaller than the sum of its proper divisors (52395966720).

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

20205434880 is a wasteful number, since it uses less digits than its factorization.

20205434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20205434880 in words is "twenty billion, two hundred five million, four hundred thirty-four thousand, eight hundred eighty".