10602215456 has 72 divisors (see below), whose sum is σ = 24415769196. Its totient is φ = 4518581760.

The previous prime is 10602215413. The next prime is 10602215551. The reversal of 10602215456 is 65451220601.

10602215456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8296295056 + 2305920400 = 91084^2 + 48020^2 .

It is a super-2 number, since 2×10602215456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265130 + ... + 302486.

Almost surely, 2^10602215456 is an apocalyptic number.

10602215456 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 10602215456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12207884598).

10602215456 is an abundant number, since it is smaller than the sum of its proper divisors (13813553740).

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

10602215456 is a wasteful number, since it uses less digits than its factorization.

10602215456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37562 (or 37547 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 10602215456 in words is "ten billion, six hundred two million, two hundred fifteen thousand, four hundred fifty-six".