263199780900 has 405 divisors, whose sum is σ = 965190906771. Its totient is φ = 59987571840.

The previous prime is 263199780889. The next prime is 263199780911. The reversal of 263199780900 is 9087991362.

The square root of 263199780900 is 513030.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (263199780889) and next prime (263199780911).

It can be written as a sum of positive squares in 4 ways, for example, as 2707953444 + 260491827456 = 52038^2 + 510384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 754153926 + ... + 754154274.

Almost surely, 2^263199780900 is an apocalyptic number.

263199780900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

263199780900 is the 513030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263199780900

263199780900 is an abundant number, since it is smaller than the sum of its proper divisors (701991125871).

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

263199780900 is an equidigital number, since it uses as much as digits as its factorization.

263199780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 263199780900 in words is "two hundred sixty-three billion, one hundred ninety-nine million, seven hundred eighty thousand, nine hundred".