20368812441600 has 1536 divisors, whose sum is σ = 86009182560000. Its totient is φ = 4629504983040.

The previous prime is 20368812441589. The next prime is 20368812441619. The reversal of 20368812441600 is 614421886302.

20368812441600 is a `hidden beast` number, since 2 + 0 + 36 + 8 + 8 + 1 + 2 + 4 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 45364838176 + ... + 45364838624.

Almost surely, 2^{20368812441600} is an apocalyptic number.

20368812441600 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 20368812441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43004591280000).

20368812441600 is an abundant number, since it is smaller than the sum of its proper divisors (65640370118400).

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

20368812441600 is an equidigital number, since it uses as much as digits as its factorization.

20368812441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20368812441600 in words is "twenty trillion, three hundred sixty-eight billion, eight hundred twelve million, four hundred forty-one thousand, six hundred".