19815342543360 has 5120 divisors, whose sum is σ = 97409765376000. Its totient is φ = 3746000535552.

The previous prime is 19815342543343. The next prime is 19815342543401. The reversal of 19815342543360 is 6334524351891.

19815342543360 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 5 + 34 + 2 + 543 + 3 + 60 = 666.

It is a super-2 number, since 2×19815342543360² (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 a junction number, because it is equal to n+sod(n) for n = 19815342543297 and 19815342543306.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 222644298196 + ... + 222644298284.

It is an arithmetic number, because the mean of its divisors is an integer number (19025344800).

Almost surely, 2^{19815342543360} is an apocalyptic number.

19815342543360 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 19815342543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48704882688000).

19815342543360 is an abundant number, since it is smaller than the sum of its proper divisors (77594422832640).

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

19815342543360 is an equidigital number, since it uses as much as digits as its factorization.

19815342543360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 19815342543360 in words is "nineteen trillion, eight hundred fifteen billion, three hundred forty-two million, five hundred forty-three thousand, three hundred sixty".