199987520621616 has 320 divisors, whose sum is σ = 710058942208000. Its totient is φ = 52478914397184.

The previous prime is 199987520621611. The next prime is 199987520621621. The reversal of 199987520621616 is 616126025789991.

199987520621616 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 87 + 520 + 6 + 2 + 1 + 6 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (199987520621611) and next prime (199987520621621).

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

It is not an unprimeable number, because it can be changed into a prime (199987520621611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4958791 + ... + 20604966.

It is an arithmetic number, because the mean of its divisors is an integer number (2218934194400).

Almost surely, 2^{199987520621616} is an apocalyptic number.

199987520621616 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 199987520621616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355029471104000).

199987520621616 is an abundant number, since it is smaller than the sum of its proper divisors (510071421586384).

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

199987520621616 is a wasteful number, since it uses less digits than its factorization.

199987520621616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25563993 (or 25563981 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 199987520621616 in words is "one hundred ninety-nine trillion, nine hundred eighty-seven billion, five hundred twenty million, six hundred twenty-one thousand, six hundred sixteen".