10622880000000 has 768 divisors, whose sum is σ = 39350289888000. Its totient is φ = 2831616000000.

The previous prime is 10622879999969. The next prime is 10622880000017. The reversal of 10622880000000 is 8822601.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×10622880000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4319998771 + ... + 4320001229.

It is an arithmetic number, because the mean of its divisors is an integer number (51237356625).

Almost surely, 2^{10622880000000} is an apocalyptic number.

10622880000000 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 10622880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675144944000).

10622880000000 is an abundant number, since it is smaller than the sum of its proper divisors (28727409888000).

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

10622880000000 is an frugal number, since it uses more digits than its factorization.

10622880000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10622880000000 its reverse (8822601), we get a palindrome (10622888822601).

The spelling of 10622880000000 in words is "ten trillion, six hundred twenty-two billion, eight hundred eighty million", and thus it is an aban number.