20238395582400 has 672 divisors, whose sum is σ = 69184325253120. Its totient is φ = 5173936128000.

The previous prime is 20238395582387. The next prime is 20238395582411. The reversal of 20238395582400 is 428559383202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15676525755 + ... + 15676527045.

It is an arithmetic number, because the mean of its divisors is an integer number (102952864960).

Almost surely, 2^{20238395582400} is an apocalyptic number.

20238395582400 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 20238395582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34592162626560).

20238395582400 is an abundant number, since it is smaller than the sum of its proper divisors (48945929670720).

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

20238395582400 is a wasteful number, since it uses less digits than its factorization.

20238395582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 20238395582400 in words is "twenty trillion, two hundred thirty-eight billion, three hundred ninety-five million, five hundred eighty-two thousand, four hundred".