20351040000000 has 1664 divisors, whose sum is σ = 76022524131840. Its totient is φ = 4816896000000.

The previous prime is 20351039999921. The next prime is 20351040000007. The reversal of 20351040000000 is 4015302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20351040000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 473279999979 + ... + 473280000021.

It is an arithmetic number, because the mean of its divisors is an integer number (45686613060).

Almost surely, 2^{20351040000000} is an apocalyptic number.

20351040000000 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 20351040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38011262065920).

20351040000000 is an abundant number, since it is smaller than the sum of its proper divisors (55671484131840).

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

20351040000000 is an frugal number, since it uses more digits than its factorization.

20351040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 20351040000000 its reverse (4015302), we get a palindrome (20351044015302).

The spelling of 20351040000000 in words is "twenty trillion, three hundred fifty-one billion, forty million", and thus it is an aban number.