10622481689088 has 1280 divisors, whose sum is σ = 35624142766080. Its totient is φ = 3148182650880.

The previous prime is 10622481689077. The next prime is 10622481689143. The reversal of 10622481689088 is 88098618422601.

10622481689088 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 2 + 481 + 68 + 90 + 8 + 8 = 666.

It is a super-2 number, since 2×10622481689088² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27734938945 + ... + 27734939327.

It is an arithmetic number, because the mean of its divisors is an integer number (27831361536).

Almost surely, 2^{10622481689088} is an apocalyptic number.

10622481689088 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 10622481689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812071383040).

10622481689088 is an abundant number, since it is smaller than the sum of its proper divisors (25001661076992).

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

10622481689088 is an frugal number, since it uses more digits than its factorization.

10622481689088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 10622481689088 in words is "ten trillion, six hundred twenty-two billion, four hundred eighty-one million, six hundred eighty-nine thousand, eighty-eight".