204090858624 has 128 divisors (see below), whose sum is σ = 557285388480. Its totient is φ = 66130145280.

The previous prime is 204090858623. The next prime is 204090858649. The reversal of 204090858624 is 426858090402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (204090858623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16773567 + ... + 16785729.

Almost surely, 2^204090858624 is an apocalyptic number.

204090858624 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 204090858624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278642694240).

204090858624 is an abundant number, since it is smaller than the sum of its proper divisors (353194529856).

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

204090858624 is a wasteful number, since it uses less digits than its factorization.

204090858624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13398 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 204090858624 in words is "two hundred four billion, ninety million, eight hundred fifty-eight thousand, six hundred twenty-four".