19722137250816 has 1760 divisors, whose sum is σ = 81811372769280. Its totient is φ = 4564972339200.

The previous prime is 19722137250799. The next prime is 19722137250817. The reversal of 19722137250816 is 61805273122791.

19722137250816 is a `hidden beast` number, since 1 + 9 + 72 + 21 + 37 + 2 + 508 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (19722137250817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2407777281 + ... + 2407785471.

It is an arithmetic number, because the mean of its divisors is an integer number (46483734528).

Almost surely, 2^{19722137250816} is an apocalyptic number.

19722137250816 is a gapful number since it is divisible by the number (16) 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 19722137250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40905686384640).

19722137250816 is an abundant number, since it is smaller than the sum of its proper divisors (62089235518464).

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

19722137250816 is a wasteful number, since it uses less digits than its factorization.

19722137250816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 19722137250816 in words is "nineteen trillion, seven hundred twenty-two billion, one hundred thirty-seven million, two hundred fifty thousand, eight hundred sixteen".