19852675995240 has 3072 divisors, whose sum is σ = 83784637440000. Its totient is φ = 4154996736000.

The previous prime is 19852675995233. The next prime is 19852675995277. The reversal of 19852675995240 is 4259957625891.

19852675995240 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 2 + 6 + 7 + 5 + 99 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 142825007091 + ... + 142825007229.

It is an arithmetic number, because the mean of its divisors is an integer number (27273645000).

Almost surely, 2^{19852675995240} is an apocalyptic number.

19852675995240 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 19852675995240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41892318720000).

19852675995240 is an abundant number, since it is smaller than the sum of its proper divisors (63931961444760).

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

19852675995240 is a wasteful number, since it uses less digits than its factorization.

19852675995240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 19852675995240 in words is "nineteen trillion, eight hundred fifty-two billion, six hundred seventy-five million, nine hundred ninety-five thousand, two hundred forty".