265151720910400 has 189 divisors, whose sum is σ = 660930476258451. Its totient is φ = 104697826222080.

The previous prime is 265151720910389. The next prime is 265151720910443. The reversal of 265151720910400 is 4019027151562.

The square root of 265151720910400 is 16283480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20581919296 + 265131138991104 = 143464^2 + 16282848^2 .

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, 51455794224 + ... + 51455799376.

Almost surely, 2^{265151720910400} is an apocalyptic number.

265151720910400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

265151720910400 is the 16283480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265151720910400

265151720910400 is an abundant number, since it is smaller than the sum of its proper divisors (395778755348051).

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

265151720910400 is an frugal number, since it uses more digits than its factorization.

265151720910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 265151720910400 in words is "two hundred sixty-five trillion, one hundred fifty-one billion, seven hundred twenty million, nine hundred ten thousand, four hundred".