10272856000 has 224 divisors, whose sum is σ = 28038576384. Its totient is φ = 3697280000.

The previous prime is 10272855973. The next prime is 10272856001. The reversal of 10272856000 is 65827201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272856001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9415455 + ... + 9416545.

It is an arithmetic number, because the mean of its divisors is an integer number (125172216).

Almost surely, 2^10272856000 is an apocalyptic number.

10272856000 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 10272856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019288192).

10272856000 is an abundant number, since it is smaller than the sum of its proper divisors (17765720384).

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

10272856000 is a wasteful number, since it uses less digits than its factorization.

10272856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 10272856000 in words is "ten billion, two hundred seventy-two million, eight hundred fifty-six thousand".