1205266825350 has 1200 divisors, whose sum is σ = 4330043850528. Its totient is φ = 247228692480.

The previous prime is 1205266825309. The next prime is 1205266825421. The reversal of 1205266825350 is 535286625021.

1205266825350 is a `hidden beast` number, since 1 + 2 + 0 + 52 + 6 + 68 + 2 + 535 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1205266825296 and 1205266825305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 3802103392 + ... + 3802103708.

Almost surely, 2^{1205266825350} is an apocalyptic number.

1205266825350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205266825350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165021925264).

1205266825350 is an abundant number, since it is smaller than the sum of its proper divisors (3124777025178).

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

1205266825350 is a wasteful number, since it uses less digits than its factorization.

1205266825350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1205266825350 in words is "one trillion, two hundred five billion, two hundred sixty-six million, eight hundred twenty-five thousand, three hundred fifty".