204678195120 has 240 divisors, whose sum is σ = 789101494272. Its totient is φ = 46573539840.

The previous prime is 204678195101. The next prime is 204678195131. The reversal of 204678195120 is 21591876402.

204678195120 is a `hidden beast` number, since 2 + 0 + 467 + 81 + 95 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1032865 + ... + 1214975.

Almost surely, 2^204678195120 is an apocalyptic number.

204678195120 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 204678195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394550747136).

204678195120 is an abundant number, since it is smaller than the sum of its proper divisors (584423299152).

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

204678195120 is a wasteful number, since it uses less digits than its factorization.

204678195120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182360 (or 182351 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 204678195120 in words is "two hundred four billion, six hundred seventy-eight million, one hundred ninety-five thousand, one hundred twenty".