20309553825600 has 1344 divisors, whose sum is σ = 78828426657792. Its totient is φ = 4530290688000.

The previous prime is 20309553825599. The next prime is 20309553825623. The reversal of 20309553825600 is 652835590302.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20309553825600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6938691337 + ... + 6938694263.

It is an arithmetic number, because the mean of its divisors is an integer number (58652103168).

Almost surely, 2^{20309553825600} is an apocalyptic number.

20309553825600 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 20309553825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414213328896).

20309553825600 is an abundant number, since it is smaller than the sum of its proper divisors (58518872832192).

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

20309553825600 is a wasteful number, since it uses less digits than its factorization.

20309553825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 20309553825600 in words is "twenty trillion, three hundred nine billion, five hundred fifty-three million, eight hundred twenty-five thousand, six hundred".