20235838225680 has 4800 divisors, whose sum is σ = 99230640689664. Its totient is φ = 3762339840000.

The previous prime is 20235838225573. The next prime is 20235838225709. The reversal of 20235838225680 is 8652283853202.

20235838225680 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 5 + 8 + 382 + 256 + 8 + 0 = 666.

It is a super-2 number, since 2×20235838225680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 134012173605 + ... + 134012173755.

Almost surely, 2^{20235838225680} is an apocalyptic number.

20235838225680 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 20235838225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49615320344832).

20235838225680 is an abundant number, since it is smaller than the sum of its proper divisors (78994802463984).

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

20235838225680 is a wasteful number, since it uses less digits than its factorization.

20235838225680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 20235838225680 in words is "twenty trillion, two hundred thirty-five billion, eight hundred thirty-eight million, two hundred twenty-five thousand, six hundred eighty".