203256264960 has 1296 divisors, whose sum is σ = 883317052800. Its totient is φ = 42864869376.

The previous prime is 203256264949. The next prime is 203256264989. The reversal of 203256264960 is 69462652302.

203256264960 is a `hidden beast` number, since 2 + 0 + 325 + 6 + 264 + 9 + 60 = 666.

203256264960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566173261 + ... + 566173619.

It is an arithmetic number, because the mean of its divisors is an integer number (681571800).

Almost surely, 2^203256264960 is an apocalyptic number.

203256264960 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 203256264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441658526400).

203256264960 is an abundant number, since it is smaller than the sum of its proper divisors (680060787840).

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

203256264960 is a wasteful number, since it uses less digits than its factorization.

203256264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

It can be divided in two parts, 20325 and 6264960, that added together give a triangular number (6285285 = T₃₅₄₅).

The spelling of 203256264960 in words is "two hundred three billion, two hundred fifty-six million, two hundred sixty-four thousand, nine hundred sixty".