10228620314880 has 576 divisors, whose sum is σ = 39909135974400. Its totient is φ = 2460128993280.

The previous prime is 10228620314879. The next prime is 10228620314903. The reversal of 10228620314880 is 8841302682201.

10228620314880 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 8 + 620 + 3 + 14 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 48174391 + ... + 48386249.

It is an arithmetic number, because the mean of its divisors is an integer number (69286694400).

Almost surely, 2^{10228620314880} is an apocalyptic number.

10228620314880 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 10228620314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19954567987200).

10228620314880 is an abundant number, since it is smaller than the sum of its proper divisors (29680515659520).

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

10228620314880 is a wasteful number, since it uses less digits than its factorization.

10228620314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212027 (or 212007 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10228620314880 in words is "ten trillion, two hundred twenty-eight billion, six hundred twenty million, three hundred fourteen thousand, eight hundred eighty".