10922688000 has 1200 divisors, whose sum is σ = 48429851184. Its totient is φ = 2438553600.

The previous prime is 10922687987. The next prime is 10922688001. The reversal of 10922688000 is 88622901.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×10922688000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10922688001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254015979 + ... + 254016021.

Almost surely, 2^10922688000 is an apocalyptic number.

10922688000 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 10922688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24214925592).

10922688000 is an abundant number, since it is smaller than the sum of its proper divisors (37507163184).

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

10922688000 is an frugal number, since it uses more digits than its factorization.

10922688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10922688000 in words is "ten billion, nine hundred twenty-two million, six hundred eighty-eight thousand".