20851352578200 has 384 divisors, whose sum is σ = 65919300894720. Its totient is φ = 5451427699200.

The previous prime is 20851352578153. The next prime is 20851352578241. The reversal of 20851352578200 is 287525315802.

It is a self number, because there is not a number n which added to its sum of digits gives 20851352578200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3856359897 + ... + 3856365303.

It is an arithmetic number, because the mean of its divisors is an integer number (171664846080).

Almost surely, 2^{20851352578200} is an apocalyptic number.

20851352578200 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 20851352578200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32959650447360).

20851352578200 is an abundant number, since it is smaller than the sum of its proper divisors (45067948316520).

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

20851352578200 is a wasteful number, since it uses less digits than its factorization.

20851352578200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 20851352578200 in words is "twenty trillion, eight hundred fifty-one billion, three hundred fifty-two million, five hundred seventy-eight thousand, two hundred".