19987117742592 has 2880 divisors, whose sum is σ = 83490068293632. Its totient is φ = 4609762099200.

The previous prime is 19987117742569. The next prime is 19987117742633. The reversal of 19987117742592 is 29524771178991.

19987117742592 is a `hidden beast` number, since 1 + 9 + 9 + 87 + 117 + 7 + 425 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19987117742592.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119683339693 + ... + 119683339859.

Almost surely, 2^{19987117742592} is an apocalyptic number.

19987117742592 is a gapful number since it is divisible by the number (12) 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 19987117742592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41745034146816).

19987117742592 is an abundant number, since it is smaller than the sum of its proper divisors (63502950551040).

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

19987117742592 is a wasteful number, since it uses less digits than its factorization.

19987117742592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 234 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 72.

The spelling of 19987117742592 in words is "nineteen trillion, nine hundred eighty-seven billion, one hundred seventeen million, seven hundred forty-two thousand, five hundred ninety-two".