264710250000 has 735 divisors, whose sum is σ = 1080348886201. Its totient is φ = 60505200000.

The previous prime is 264710249977. The next prime is 264710250029. The reversal of 264710250000 is 52017462.

The square root of 264710250000 is 514500.

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

264710250000 is a `hidden beast` number, since 2 + 647 + 10 + 2 + 5 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 231911591184 + 32798658816 = 481572^2 + 181104^2 .

It is a tau number, because it is divible by the number of its divisors (735).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 37815749997 + ... + 37815750003.

Almost surely, 2^264710250000 is an apocalyptic number.

264710250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

264710250000 is the 514500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264710250000

264710250000 is an abundant number, since it is smaller than the sum of its proper divisors (815638636201).

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

264710250000 is an frugal number, since it uses more digits than its factorization.

264710250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 264710250000 its reverse (52017462), we get a palindrome (264762267462).

The spelling of 264710250000 in words is "two hundred sixty-four billion, seven hundred ten million, two hundred fifty thousand".