204735045138880 has 224 divisors, whose sum is σ = 531767125440000. Its totient is φ = 74783408394240.

The previous prime is 204735045138859. The next prime is 204735045138889. The reversal of 204735045138880 is 88831540537402.

204735045138880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204735045138880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204735045138889) 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, 104646435 + ... + 106584925.

Almost surely, 2^{204735045138880} is an apocalyptic number.

204735045138880 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 204735045138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265883562720000).

204735045138880 is an abundant number, since it is smaller than the sum of its proper divisors (327032080301120).

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

204735045138880 is a wasteful number, since it uses less digits than its factorization.

204735045138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939155 (or 1939145 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 204735045138880 in words is "two hundred four trillion, seven hundred thirty-five billion, forty-five million, one hundred thirty-eight thousand, eight hundred eighty".