19745218160640 has 960 divisors, whose sum is σ = 81056195700480. Its totient is φ = 4503553966080.

The previous prime is 19745218160617. The next prime is 19745218160651. The reversal of 19745218160640 is 4606181254791.

19745218160640 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 5 + 21 + 8 + 1 + 606 + 4 + 0 = 666.

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

It is a super-2 number, since 2×19745218160640² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2920454860 + ... + 2920461620.

It is an arithmetic number, because the mean of its divisors is an integer number (84433537188).

Almost surely, 2^{19745218160640} is an apocalyptic number.

19745218160640 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 19745218160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40528097850240).

19745218160640 is an abundant number, since it is smaller than the sum of its proper divisors (61310977539840).

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

19745218160640 is an equidigital number, since it uses as much as digits as its factorization.

19745218160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 19745218160640 in words is "nineteen trillion, seven hundred forty-five billion, two hundred eighteen million, one hundred sixty thousand, six hundred forty".