20353641000000 has 3136 divisors, whose sum is σ = 91347390738432. Its totient is φ = 3870720000000.

The previous prime is 20353640999977. The next prime is 20353641000023. The reversal of 20353641000000 is 14635302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20353640999977) and next prime (20353641000023).

It is a super-3 number, since 3×20353641000000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 278816999964 + ... + 278817000036.

Almost surely, 2^{20353641000000} is an apocalyptic number.

20353641000000 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 20353641000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45673695369216).

20353641000000 is an abundant number, since it is smaller than the sum of its proper divisors (70993749738432).

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

20353641000000 is an equidigital number, since it uses as much as digits as its factorization.

20353641000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 20353641000000 its reverse (14635302), we get a palindrome (20353655635302).

The spelling of 20353641000000 in words is "twenty trillion, three hundred fifty-three billion, six hundred forty-one million", and thus it is an aban number.