20091403593600 has 576 divisors, whose sum is σ = 70009575886080. Its totient is φ = 5063569920000.

The previous prime is 20091403593593. The next prime is 20091403593623. The reversal of 20091403593600 is 639530419002.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1493666875 + ... + 1493680325.

It is an arithmetic number, because the mean of its divisors is an integer number (121544402580).

Almost surely, 2^{20091403593600} is an apocalyptic number.

20091403593600 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 20091403593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35004787943040).

20091403593600 is an abundant number, since it is smaller than the sum of its proper divisors (49918172292480).

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

20091403593600 is a wasteful number, since it uses less digits than its factorization.

20091403593600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947 (or 13911 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 20091403593600 in words is "twenty trillion, ninety-one billion, four hundred three million, five hundred ninety-three thousand, six hundred".