10265272400 has 60 divisors (see below), whose sum is σ = 24688351392. Its totient is φ = 4101774720.

The previous prime is 10265272387. The next prime is 10265272427. The reversal of 10265272400 is 427256201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380147 + ... + 406253.

Almost surely, 2^10265272400 is an apocalyptic number.

10265272400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10265272400 is an abundant number, since it is smaller than the sum of its proper divisors (14423078992).

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

10265272400 is a wasteful number, since it uses less digits than its factorization.

10265272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27108 (or 27097 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 10265272400 in words is "ten billion, two hundred sixty-five million, two hundred seventy-two thousand, four hundred".