204147253800 has 192 divisors, whose sum is σ = 803627433600. Its totient is φ = 46662220800.

The previous prime is 204147253771. The next prime is 204147253823. The reversal of 204147253800 is 8352741402.

It is a happy number.

204147253800 is a `hidden beast` number, since 20 + 41 + 472 + 53 + 80 + 0 = 666.

It is a super-2 number, since 2×204147253800² (a number of 23 digits) contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2662561 + ... + 2738160.

It is an arithmetic number, because the mean of its divisors is an integer number (4185559550).

Almost surely, 2^204147253800 is an apocalyptic number.

204147253800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204147253800 is an abundant number, since it is smaller than the sum of its proper divisors (599480179800).

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

204147253800 is a wasteful number, since it uses less digits than its factorization.

204147253800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400753 (or 5400738 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 204147253800 in words is "two hundred four billion, one hundred forty-seven million, two hundred fifty-three thousand, eight hundred".