10225735760 has 20 divisors (see below), whose sum is σ = 23774835828. Its totient is φ = 4090294272.

The previous prime is 10225735753. The next prime is 10225735777. The reversal of 10225735760 is 6753752201.

It can be written as a sum of positive squares in 2 ways, for example, as 6966239296 + 3259496464 = 83464^2 + 57092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63910769 + ... + 63910928.

Almost surely, 2^10225735760 is an apocalyptic number.

10225735760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225735760 is an abundant number, since it is smaller than the sum of its proper divisors (13549100068).

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

10225735760 is a wasteful number, since it uses less digits than its factorization.

10225735760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127821710 (or 127821704 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The spelling of 10225735760 in words is "ten billion, two hundred twenty-five million, seven hundred thirty-five thousand, seven hundred sixty".