20051670307200 has 768 divisors, whose sum is σ = 79576763904000. Its totient is φ = 4335245107200.

The previous prime is 20051670307103. The next prime is 20051670307243. The reversal of 20051670307200 is 270307615002.

It is a super-2 number, since 2×20051670307200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 841399285 + ... + 841423115.

It is an arithmetic number, because the mean of its divisors is an integer number (103615578000).

Almost surely, 2^{20051670307200} is an apocalyptic number.

20051670307200 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 20051670307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39788381952000).

20051670307200 is an abundant number, since it is smaller than the sum of its proper divisors (59525093596800).

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

20051670307200 is a wasteful number, since it uses less digits than its factorization.

20051670307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24543 (or 24526 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 20051670307200 in words is "twenty trillion, fifty-one billion, six hundred seventy million, three hundred seven thousand, two hundred".