10424771605248 has 2304 divisors, whose sum is σ = 40027134099456. Its totient is φ = 2322432000000.

The previous prime is 10424771605219. The next prime is 10424771605291. The reversal of 10424771605248 is 84250617742401.

10424771605248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10424771605248² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10424771605248.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 103215560398 + ... + 103215560498.

It is an arithmetic number, because the mean of its divisors is an integer number (17372888064).

Almost surely, 2^{10424771605248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424771605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20013567049728).

10424771605248 is an abundant number, since it is smaller than the sum of its proper divisors (29602362494208).

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

10424771605248 is a wasteful number, since it uses less digits than its factorization.

10424771605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 10424771605248 in words is "ten trillion, four hundred twenty-four billion, seven hundred seventy-one million, six hundred five thousand, two hundred forty-eight".