20712908374200 has 1440 divisors, whose sum is σ = 86852765062800. Its totient is φ = 4556193546240.

The previous prime is 20712908374183. The next prime is 20712908374237. The reversal of 20712908374200 is 247380921702.

20712908374200 is a `hidden beast` number, since 2 + 0 + 71 + 2 + 9 + 0 + 8 + 374 + 200 = 666.

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7988008104 + ... + 7988010696.

Almost surely, 2^{20712908374200} is an apocalyptic number.

20712908374200 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 20712908374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43426382531400).

20712908374200 is an abundant number, since it is smaller than the sum of its proper divisors (66139856688600).

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

20712908374200 is a wasteful number, since it uses less digits than its factorization.

20712908374200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20712908374200 in words is "twenty trillion, seven hundred twelve billion, nine hundred eight million, three hundred seventy-four thousand, two hundred".