10272705600 has 504 divisors, whose sum is σ = 37155327264. Its totient is φ = 2476032000.

The previous prime is 10272705593. The next prime is 10272705601. The reversal of 10272705600 is 650727201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272705601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78417535 + ... + 78417665.

Almost surely, 2^10272705600 is an apocalyptic number.

10272705600 is a gapful number since it is divisible by the number (10) 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 10272705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577663632).

10272705600 is an abundant number, since it is smaller than the sum of its proper divisors (26882621664).

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

10272705600 is a wasteful number, since it uses less digits than its factorization.

10272705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 10272705600 in words is "ten billion, two hundred seventy-two million, seven hundred five thousand, six hundred".