205128907630400 has 672 divisors, whose sum is σ = 588133012078080. Its totient is φ = 69727501025280.

The previous prime is 205128907630363. The next prime is 205128907630457. The reversal of 205128907630400 is 4036709821502.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48345250679 + ... + 48345254921.

It is an arithmetic number, because the mean of its divisors is an integer number (875197934640).

It is a 1-persistent number, because it is pandigital, but 2⋅205128907630400 = 410257815260800 is not.

Almost surely, 2^{205128907630400} is an apocalyptic number.

205128907630400 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 205128907630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294066506039040).

205128907630400 is an abundant number, since it is smaller than the sum of its proper divisors (383004104447680).

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

205128907630400 is a wasteful number, since it uses less digits than its factorization.

205128907630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 205128907630400 in words is "two hundred five trillion, one hundred twenty-eight billion, nine hundred seven million, six hundred thirty thousand, four hundred".