10560298825440 has 1152 divisors, whose sum is σ = 47899860624000. Its totient is φ = 2151259471872.

The previous prime is 10560298825429. The next prime is 10560298825493. The reversal of 10560298825440 is 4452889206501.

10560298825440 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 2 + 98 + 8 + 2 + 544 + 0 = 666.

It is a super-2 number, since 2×10560298825440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79737196 + ... + 79869524.

It is an arithmetic number, because the mean of its divisors is an integer number (41579740125).

Almost surely, 2^{10560298825440} is an apocalyptic number.

10560298825440 is a gapful number since it is divisible by the number (10) 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 10560298825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949930312000).

10560298825440 is an abundant number, since it is smaller than the sum of its proper divisors (37339561798560).

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

10560298825440 is a wasteful number, since it uses less digits than its factorization.

10560298825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132409 (or 132388 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10560298825440 in words is "ten trillion, five hundred sixty billion, two hundred ninety-eight million, eight hundred twenty-five thousand, four hundred forty".