20000194072320 has 2304 divisors, whose sum is σ = 88674912829440. Its totient is φ = 3715891200000.

The previous prime is 20000194072319. The next prime is 20000194072367. The reversal of 20000194072320 is 2327049100002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 7140374920 + ... + 7140377720.

It is an arithmetic number, because the mean of its divisors is an integer number (38487375360).

Almost surely, 2^{20000194072320} is an apocalyptic number.

20000194072320 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 20000194072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44337456414720).

20000194072320 is an abundant number, since it is smaller than the sum of its proper divisors (68674718757120).

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

20000194072320 is a wasteful number, since it uses less digits than its factorization.

20000194072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 20000194072320 in words is "twenty trillion, one hundred ninety-four million, seventy-two thousand, three hundred twenty".