10562272656 has 80 divisors (see below), whose sum is σ = 29654560320. Its totient is φ = 3220093440.

The previous prime is 10562272603. The next prime is 10562272667. The reversal of 10562272656 is 65627226501.

It is a super-3 number, since 3×10562272656³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9630 + ... + 145661.

It is an arithmetic number, because the mean of its divisors is an integer number (370682004).

Almost surely, 2^10562272656 is an apocalyptic number.

10562272656 is a gapful number since it is divisible by the number (16) 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 10562272656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827280160).

10562272656 is an abundant number, since it is smaller than the sum of its proper divisors (19092287664).

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

10562272656 is a wasteful number, since it uses less digits than its factorization.

10562272656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155424 (or 155418 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 10562272656 in words is "ten billion, five hundred sixty-two million, two hundred seventy-two thousand, six hundred fifty-six".