20435368800 has 288 divisors, whose sum is σ = 82931192064. Its totient is φ = 4246272000.

The previous prime is 20435368799. The next prime is 20435368883. The reversal of 20435368800 is 886353402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129510 + ... + 240090.

It is an arithmetic number, because the mean of its divisors is an integer number (287955528).

Almost surely, 2^20435368800 is an apocalyptic number.

20435368800 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 20435368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41465596032).

20435368800 is an abundant number, since it is smaller than the sum of its proper divisors (62495823264).

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

20435368800 is a wasteful number, since it uses less digits than its factorization.

20435368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110622 (or 110609 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 20435368800 in words is "twenty billion, four hundred thirty-five million, three hundred sixty-eight thousand, eight hundred".