10260274145600 has 42 divisors (see below), whose sum is σ = 25246687073454. Its totient is φ = 4104109657600.

The previous prime is 10260274145581. The next prime is 10260274145603. The reversal of 10260274145600 is 654147206201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 769241260096 + 9491032885504 = 877064^2 + 3080752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260274145603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3206334071 + ... + 3206337270.

It is an arithmetic number, because the mean of its divisors is an integer number (601111596987).

Almost surely, 2^{10260274145600} is an apocalyptic number.

10260274145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10260274145600 is an abundant number, since it is smaller than the sum of its proper divisors (14986412927854).

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

10260274145600 is an equidigital number, since it uses as much as digits as its factorization.

10260274145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412671363 (or 6412671348 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 10260274145600 in words is "ten trillion, two hundred sixty billion, two hundred seventy-four million, one hundred forty-five thousand, six hundred".