205990077948480 has 2240 divisors, whose sum is σ = 897507545088000. Its totient is φ = 43801375408128.

The previous prime is 205990077948463. The next prime is 205990077948503. The reversal of 205990077948480 is 84849770099502.

205990077948480 is a `hidden beast` number, since 2 + 0 + 59 + 9 + 0 + 0 + 7 + 7 + 94 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 205990077948399 and 205990077948408.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 52561895961 + ... + 52561899879.

It is an arithmetic number, because the mean of its divisors is an integer number (400673011200).

Almost surely, 2^{205990077948480} is an apocalyptic number.

205990077948480 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 205990077948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448753772544000).

205990077948480 is an abundant number, since it is smaller than the sum of its proper divisors (691517467139520).

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

205990077948480 is a wasteful number, since it uses less digits than its factorization.

205990077948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 205990077948480 in words is "two hundred five trillion, nine hundred ninety billion, seventy-seven million, nine hundred forty-eight thousand, four hundred eighty".