10228258080000 has 540 divisors, whose sum is σ = 39019265953668. Its totient is φ = 2567086080000.

The previous prime is 10228258079999. The next prime is 10228258080043. The reversal of 10228258080000 is 8085282201.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 7571566715904 + 2656691364096 = 2751648^2 + 1629936^2 .

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 24271090 + ... + 24688910.

Almost surely, 2^{10228258080000} is an apocalyptic number.

10228258080000 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 10228258080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509632976834).

10228258080000 is an abundant number, since it is smaller than the sum of its proper divisors (28791007873668).

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

10228258080000 is an equidigital number, since it uses as much as digits as its factorization.

10228258080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417880 (or 417848 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 10228258080000 in words is "ten trillion, two hundred twenty-eight billion, two hundred fifty-eight million, eighty thousand".