22150871608320 has 2112 divisors, whose sum is σ = 98600320465920. Its totient is φ = 4643229007872.

The previous prime is 22150871608249. The next prime is 22150871608343. The reversal of 22150871608320 is 2380617805122.

22150871608320 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 0 + 8 + 7 + 1 + 608 + 32 + 0 = 666.

It is a super-2 number, since 2×22150871608320² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 20266121694 + ... + 20266122786.

Almost surely, 2^{22150871608320} is an apocalyptic number.

22150871608320 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 22150871608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49300160232960).

22150871608320 is an abundant number, since it is smaller than the sum of its proper divisors (76449448857600).

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

22150871608320 is a wasteful number, since it uses less digits than its factorization.

22150871608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 22150871608320 in words is "twenty-two trillion, one hundred fifty billion, eight hundred seventy-one million, six hundred eight thousand, three hundred twenty".