265729940100 has 81 divisors (see below), whose sum is σ = 832964210533. Its totient is φ = 70857193440.

The previous prime is 265729940089. The next prime is 265729940149. The reversal of 265729940100 is 1049927562.

The square root of 265729940100 is 515490.

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

265729940100 is a `hidden beast` number, since 26 + 572 + 9 + 9 + 40 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95662778436 + 170067161664 = 309294^2 + 412392^2 .

It is a super-4 number, since 4×265729940100⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15456109 + ... + 15473291.

Almost surely, 2^265729940100 is an apocalyptic number.

265729940100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

265729940100 is the 515490-th square number.

It is an amenable number.

265729940100 is an abundant number, since it is smaller than the sum of its proper divisors (567234270433).

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

265729940100 is an equidigital number, since it uses as much as digits as its factorization.

265729940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34386 (or 17193 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 265729940100 in words is "two hundred sixty-five billion, seven hundred twenty-nine million, nine hundred forty thousand, one hundred".