205125225502400 has 84 divisors (see below), whose sum is σ = 576841437747888. Its totient is φ = 70328648739840.

The previous prime is 205125225502387. The next prime is 205125225502471. The reversal of 205125225502400 is 4205522521502.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 11 ways as a sum of consecutive naturals, for example, 9157364939 + ... + 9157387338.

Almost surely, 2^{205125225502400} is an apocalyptic number.

205125225502400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205125225502400 is an abundant number, since it is smaller than the sum of its proper divisors (371716212245488).

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

205125225502400 is a wasteful number, since it uses less digits than its factorization.

205125225502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18314752306 (or 18314752291 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 205125225502400 in words is "two hundred five trillion, one hundred twenty-five billion, two hundred twenty-five million, five hundred two thousand, four hundred".