20278293235200 has 5040 divisors, whose sum is σ = 102303170678016. Its totient is φ = 3866252083200.

The previous prime is 20278293235199. The next prime is 20278293235219. The reversal of 20278293235200 is 253239287202.

20278293235200 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 8 + 293 + 2 + 352 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×20278293235200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 503 ways as a sum of consecutive naturals, for example, 121426905517 + ... + 121426905683.

Almost surely, 2^{20278293235200} is an apocalyptic number.

20278293235200 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 20278293235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51151585339008).

20278293235200 is an abundant number, since it is smaller than the sum of its proper divisors (82024877442816).

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

20278293235200 is a wasteful number, since it uses less digits than its factorization.

20278293235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20278293235200 in words is "twenty trillion, two hundred seventy-eight billion, two hundred ninety-three million, two hundred thirty-five thousand, two hundred".