19677312200 has 324 divisors, whose sum is σ = 58161326265. Its totient is φ = 6170411520.

The previous prime is 19677312121. The next prime is 19677312257. The reversal of 19677312200 is 221377691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 2066429764 + 17610882436 = 45458^2 + 132706^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=99190.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 180525746 + ... + 180525854.

Almost surely, 2^19677312200 is an apocalyptic number.

19677312200 is a gapful number since it is divisible by the number (10) 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 19677312200

19677312200 is an abundant number, since it is smaller than the sum of its proper divisors (38484014065).

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

19677312200 is a wasteful number, since it uses less digits than its factorization.

19677312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

Multiplying 19677312200 by its product of nonzero digits (31752), we get a square (624794016974400 = 24995880²).

Adding to 19677312200 its reverse (221377691), we get a palindrome (19898689891).

The spelling of 19677312200 in words is "nineteen billion, six hundred seventy-seven million, three hundred twelve thousand, two hundred".