22011925689000 has 960 divisors, whose sum is σ = 86007294996480. Its totient is φ = 5243434560000.

The previous prime is 22011925688993. The next prime is 22011925689071. The reversal of 22011925689000 is 98652911022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 424333065 + ... + 424384935.

It is an arithmetic number, because the mean of its divisors is an integer number (89590932288).

Almost surely, 2^{22011925689000} is an apocalyptic number.

22011925689000 is a gapful number since it is divisible by the number (20) 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 22011925689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003647498240).

22011925689000 is an abundant number, since it is smaller than the sum of its proper divisors (63995369307480).

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

22011925689000 is a wasteful number, since it uses less digits than its factorization.

22011925689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51961 (or 51925 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 22011925689000 in words is "twenty-two trillion, eleven billion, nine hundred twenty-five million, six hundred eighty-nine thousand".