204825148682640 has 160 divisors (see below), whose sum is σ = 642776848220160. Its totient is φ = 53951236480512.

The previous prime is 204825148682629. The next prime is 204825148682647. The reversal of 204825148682640 is 46286841528402.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (204825148682647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7882770 + ... + 21720689.

It is an arithmetic number, because the mean of its divisors is an integer number (4017355301376).

Almost surely, 2^{204825148682640} is an apocalyptic number.

204825148682640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204825148682640 is an abundant number, since it is smaller than the sum of its proper divisors (437951699537520).

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

204825148682640 is a wasteful number, since it uses less digits than its factorization.

204825148682640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29603829 (or 29603823 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 60.

The spelling of 204825148682640 in words is "two hundred four trillion, eight hundred twenty-five billion, one hundred forty-eight million, six hundred eighty-two thousand, six hundred forty".