10560400272 has 400 divisors, whose sum is σ = 33795729792. Its totient is φ = 3170119680.

The previous prime is 10560400271. The next prime is 10560400283. The reversal of 10560400272 is 27200406501.

It is a super-2 number, since 2×10560400272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10560400271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67263618 + ... + 67263774.

Almost surely, 2^10560400272 is an apocalyptic number.

10560400272 is a gapful number since it is divisible by the number (12) 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 10560400272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897864896).

10560400272 is an abundant number, since it is smaller than the sum of its proper divisors (23235329520).

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

10560400272 is a wasteful number, since it uses less digits than its factorization.

10560400272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10560400272 its reverse (27200406501), we get a palindrome (37760806773).

The spelling of 10560400272 in words is "ten billion, five hundred sixty million, four hundred thousand, two hundred seventy-two".