20219673600 has 990 divisors, whose sum is σ = 87532585800. Its totient is φ = 4598415360.

The previous prime is 20219673569. The next prime is 20219673601. The reversal of 20219673600 is 637691202.

20219673600 is a `hidden beast` number, since 20 + 21 + 9 + 6 + 7 + 3 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20219673601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101606301 + ... + 101606499.

Almost surely, 2^20219673600 is an apocalyptic number.

20219673600 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 20219673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43766292900).

20219673600 is an abundant number, since it is smaller than the sum of its proper divisors (67312912200).

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

20219673600 is a wasteful number, since it uses less digits than its factorization.

20219673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20219673600 in words is "twenty billion, two hundred nineteen million, six hundred seventy-three thousand, six hundred".