204967098000 has 1680 divisors, whose sum is σ = 915914413440. Its totient is φ = 44089920000.

The previous prime is 204967097999. The next prime is 204967098067. The reversal of 204967098000 is 890769402.

It is a happy number.

204967098000 is a `hidden beast` number, since 2 + 0 + 496 + 70 + 98 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×204967098000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1357397925 + ... + 1357398075.

Almost surely, 2^204967098000 is an apocalyptic number.

204967098000 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 204967098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457957206720).

204967098000 is an abundant number, since it is smaller than the sum of its proper divisors (710947315440).

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

204967098000 is a wasteful number, since it uses less digits than its factorization.

204967098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 204967098000 in words is "two hundred four billion, nine hundred sixty-seven million, ninety-eight thousand".