260077745726500 has 192 divisors, whose sum is σ = 635148585489600. Its totient is φ = 92372679168000.

The previous prime is 260077745726431. The next prime is 260077745726609. The reversal of 260077745726500 is 5627547770062.

It can be written as a sum of positive squares in 32 ways, for example, as 237063236272164 + 23014509454336 = 15396858^2 + 4797344^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48141960 + ... + 53271040.

It is an arithmetic number, because the mean of its divisors is an integer number (3308065549425).

Almost surely, 2^{260077745726500} is an apocalyptic number.

260077745726500 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 260077745726500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317574292744800).

260077745726500 is an abundant number, since it is smaller than the sum of its proper divisors (375070839763100).

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

260077745726500 is a wasteful number, since it uses less digits than its factorization.

260077745726500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129411 (or 5129399 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 58.

The spelling of 260077745726500 in words is "two hundred sixty trillion, seventy-seven billion, seven hundred forty-five million, seven hundred twenty-six thousand, five hundred".