204211969104 has 240 divisors, whose sum is σ = 630931937216. Its totient is φ = 56531312640.

The previous prime is 204211969099. The next prime is 204211969121. The reversal of 204211969104 is 401969112402.

204211969104 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7309947 + ... + 7337829.

Almost surely, 2^204211969104 is an apocalyptic number.

204211969104 is a gapful number since it is divisible by the number (24) 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 204211969104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315465968608).

204211969104 is an abundant number, since it is smaller than the sum of its proper divisors (426719968112).

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

204211969104 is a wasteful number, since it uses less digits than its factorization.

204211969104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28026 (or 28009 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 204211969104 in words is "two hundred four billion, two hundred eleven million, nine hundred sixty-nine thousand, one hundred four".