10603261021248 has 672 divisors, whose sum is σ = 37893331457280. Its totient is φ = 2766056325120.

The previous prime is 10603261021247. The next prime is 10603261021303. The reversal of 10603261021248 is 84212016230601.

It is a happy number.

10603261021248 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 32 + 610 + 2 + 1 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10603261021248² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10603261021247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305209063 + ... + 305243801.

Almost surely, 2^{10603261021248} is an apocalyptic number.

10603261021248 is a gapful number since it is divisible by the number (18) 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 10603261021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946665728640).

10603261021248 is an abundant number, since it is smaller than the sum of its proper divisors (27290070436032).

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

10603261021248 is a wasteful number, since it uses less digits than its factorization.

10603261021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34915 (or 34902 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 10603261021248 its reverse (84212016230601), we get a palindrome (94815277251849).

The spelling of 10603261021248 in words is "ten trillion, six hundred three billion, two hundred sixty-one million, twenty-one thousand, two hundred forty-eight".