10017228425760 has 288 divisors, whose sum is σ = 35419103254080. Its totient is φ = 2576437254144.

The previous prime is 10017228425747. The next prime is 10017228425773. The reversal of 10017228425760 is 6752482271001.

10017228425760 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 72 + 2 + 8 + 4 + 2 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10017228425747) and next prime (10017228425773).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 3390567 + ... + 5615193.

It is an arithmetic number, because the mean of its divisors is an integer number (122982997410).

Almost surely, 2^{10017228425760} is an apocalyptic number.

10017228425760 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 10017228425760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709551627040).

10017228425760 is an abundant number, since it is smaller than the sum of its proper divisors (25401874828320).

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

10017228425760 is a wasteful number, since it uses less digits than its factorization.

10017228425760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224760 (or 2224749 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10017228425760 in words is "ten trillion, seventeen billion, two hundred twenty-eight million, four hundred twenty-five thousand, seven hundred sixty".