20369310848640 has 1152 divisors, whose sum is σ = 79381429807680. Its totient is φ = 4988862627840.

The previous prime is 20369310848611. The next prime is 20369310848657. The reversal of 20369310848640 is 4684801396302.

20369310848640 is a `hidden beast` number, since 2 + 0 + 36 + 93 + 1 + 0 + 8 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5545685844 + ... + 5545689516.

Almost surely, 2^{20369310848640} is an apocalyptic number.

20369310848640 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 20369310848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39690714903840).

20369310848640 is an abundant number, since it is smaller than the sum of its proper divisors (59012118959040).

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

20369310848640 is a wasteful number, since it uses less digits than its factorization.

20369310848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 20369310848640 in words is "twenty trillion, three hundred sixty-nine billion, three hundred ten million, eight hundred forty-eight thousand, six hundred forty".