22211970439680 has 960 divisors, whose sum is σ = 92457310353408. Its totient is φ = 5005444792320.

The previous prime is 22211970439621. The next prime is 22211970439717. The reversal of 22211970439680 is 8693407911222.

22211970439680 is a `hidden beast` number, since 2 + 22 + 119 + 70 + 439 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309137839 + ... + 309209681.

Almost surely, 2^{22211970439680} is an apocalyptic number.

22211970439680 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 22211970439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46228655176704).

22211970439680 is an abundant number, since it is smaller than the sum of its proper divisors (70245339913728).

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

22211970439680 is an frugal number, since it uses more digits than its factorization.

22211970439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71959 (or 71931 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 22211970439680 in words is "twenty-two trillion, two hundred eleven billion, nine hundred seventy million, four hundred thirty-nine thousand, six hundred eighty".