20347215626400 has 1728 divisors, whose sum is σ = 79446195118080. Its totient is φ = 4502432563200.

The previous prime is 20347215626389. The next prime is 20347215626401. The reversal of 20347215626400 is 462651274302.

It is not an unprimeable number, because it can be changed into a prime (20347215626401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12661614397 + ... + 12661616003.

It is an arithmetic number, because the mean of its divisors is an integer number (45975807360).

Almost surely, 2^{20347215626400} is an apocalyptic number.

20347215626400 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 20347215626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39723097559040).

20347215626400 is an abundant number, since it is smaller than the sum of its proper divisors (59098979491680).

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

20347215626400 is a wasteful number, since it uses less digits than its factorization.

20347215626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 20347215626400 in words is "twenty trillion, three hundred forty-seven billion, two hundred fifteen million, six hundred twenty-six thousand, four hundred".